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Finding the Fourth Proportional to 42,497.31, 63,747.32 and 12,915.40

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Solution

The fourth proportional to 42,497.31, 63,747.32 and 12,915.40 is: 19,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,497.31 : 63,747.32 = 12,915.40 : x
  2. Step 2: Convert to fraction form
    42,497.31/63,747.32 = 12,915.40/x
  3. Step 3: Cross multiply
    42,497.31x = 63,747.32 × 12,915.40
  4. Step 4: Simplify right side
    42,497.31x = 823,322,136.73
  5. Step 5: Solve for x
    x = 823,322,136.73/42,497.31
  6. Step 6: Final answer
    x = 19,373.51

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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.