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Finding the Fourth Proportional to 37,698.13, 52,023.43 and 20,931.13

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Solution

The fourth proportional to 37,698.13, 52,023.43 and 20,931.13 is: 28,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,698.13 : 52,023.43 = 20,931.13 : x
  2. Step 2: Convert to fraction form
    37,698.13/52,023.43 = 20,931.13/x
  3. Step 3: Cross multiply
    37,698.13x = 52,023.43 × 20,931.13
  4. Step 4: Simplify right side
    37,698.13x = 1,088,909,176.38
  5. Step 5: Solve for x
    x = 1,088,909,176.38/37,698.13
  6. Step 6: Final answer
    x = 28,884.97

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Double scale
Find fourth proportional to 37,699.13, 52,024.81 and 20,932.13
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.