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Finding the Fourth Proportional to 37,767.85, 52,119.99 and 20,540.38

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Solution

The fourth proportional to 37,767.85, 52,119.99 and 20,540.38 is: 28,345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,767.85 : 52,119.99 = 20,540.38 : x
  2. Step 2: Convert to fraction form
    37,767.85/52,119.99 = 20,540.38/x
  3. Step 3: Cross multiply
    37,767.85x = 52,119.99 × 20,540.38
  4. Step 4: Simplify right side
    37,767.85x = 1,070,564,400.20
  5. Step 5: Solve for x
    x = 1,070,564,400.20/37,767.85
  6. Step 6: Final answer
    x = 28,345.92

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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.