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Finding the Fourth Proportional to 31,614.55, 47,428.71 and 9,429.73

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Solution

The fourth proportional to 31,614.55, 47,428.71 and 9,429.73 is: 14,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,614.55 : 47,428.71 = 9,429.73 : x
  2. Step 2: Convert to fraction form
    31,614.55/47,428.71 = 9,429.73/x
  3. Step 3: Cross multiply
    31,614.55x = 47,428.71 × 9,429.73
  4. Step 4: Simplify right side
    31,614.55x = 447,239,929.55
  5. Step 5: Solve for x
    x = 447,239,929.55/31,614.55
  6. Step 6: Final answer
    x = 14,146.65

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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.