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Finding the Fourth Proportional to 37,767.96, 52,113.96 and 21,849.30

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Solution

The fourth proportional to 37,767.96, 52,113.96 and 21,849.30 is: 30,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,767.96 : 52,113.96 = 21,849.30 : x
  2. Step 2: Convert to fraction form
    37,767.96/52,113.96 = 21,849.30/x
  3. Step 3: Cross multiply
    37,767.96x = 52,113.96 × 21,849.30
  4. Step 4: Simplify right side
    37,767.96x = 1,138,653,546.23
  5. Step 5: Solve for x
    x = 1,138,653,546.23/37,767.96
  6. Step 6: Final answer
    x = 30,148.66

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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.