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Finding the Fourth Proportional to 42,061.30, 63,082.21 and 12,472

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Solution

The fourth proportional to 42,061.30, 63,082.21 and 12,472 is: 18,705.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,061.30 : 63,082.21 = 12,472 : x
  2. Step 2: Convert to fraction form
    42,061.30/63,082.21 = 12,472/x
  3. Step 3: Cross multiply
    42,061.30x = 63,082.21 × 12,472
  4. Step 4: Simplify right side
    42,061.30x = 786,761,323.12
  5. Step 5: Solve for x
    x = 786,761,323.12/42,061.30
  6. Step 6: Final answer
    x = 18,705.11

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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.