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Finding the Fourth Proportional to 47,680, 71,502.72 and 21,371.20

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Solution

The fourth proportional to 47,680, 71,502.72 and 21,371.20 is: 32,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,680 : 71,502.72 = 21,371.20 : x
  2. Step 2: Convert to fraction form
    47,680/71,502.72 = 21,371.20/x
  3. Step 3: Cross multiply
    47,680x = 71,502.72 × 21,371.20
  4. Step 4: Simplify right side
    47,680x = 1,528,098,929.66
  5. Step 5: Solve for x
    x = 1,528,098,929.66/47,680
  6. Step 6: Final answer
    x = 32,049.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.