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Finding the Fourth Proportional to 47,814, 71,732.52 and 14,982

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Solution

The fourth proportional to 47,814, 71,732.52 and 14,982 is: 22,476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,814 : 71,732.52 = 14,982 : x
  2. Step 2: Convert to fraction form
    47,814/71,732.52 = 14,982/x
  3. Step 3: Cross multiply
    47,814x = 71,732.52 × 14,982
  4. Step 4: Simplify right side
    47,814x = 1,074,696,614.64
  5. Step 5: Solve for x
    x = 1,074,696,614.64/47,814
  6. Step 6: Final answer
    x = 22,476.61

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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.