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Finding the Fourth Proportional to 42,314.84, 63,472.50 and 12,732.92

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Solution

The fourth proportional to 42,314.84, 63,472.50 and 12,732.92 is: 19,099.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,314.84 : 63,472.50 = 12,732.92 : x
  2. Step 2: Convert to fraction form
    42,314.84/63,472.50 = 12,732.92/x
  3. Step 3: Cross multiply
    42,314.84x = 63,472.50 × 12,732.92
  4. Step 4: Simplify right side
    42,314.84x = 808,190,264.70
  5. Step 5: Solve for x
    x = 808,190,264.70/42,314.84
  6. Step 6: Final answer
    x = 19,099.45

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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.