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Finding the Fourth Proportional to 31,532.92, 47,298 and 7,839.96

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Solution

The fourth proportional to 31,532.92, 47,298 and 7,839.96 is: 11,759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,532.92 : 47,298 = 7,839.96 : x
  2. Step 2: Convert to fraction form
    31,532.92/47,298 = 7,839.96/x
  3. Step 3: Cross multiply
    31,532.92x = 47,298 × 7,839.96
  4. Step 4: Simplify right side
    31,532.92x = 370,814,428.08
  5. Step 5: Solve for x
    x = 370,814,428.08/31,532.92
  6. Step 6: Final answer
    x = 11,759.60

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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.