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Finding the Fourth Proportional to 31,908, 47,869.72 and 10,020

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Solution

The fourth proportional to 31,908, 47,869.72 and 10,020 is: 15,032.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,908 : 47,869.72 = 10,020 : x
  2. Step 2: Convert to fraction form
    31,908/47,869.72 = 10,020/x
  3. Step 3: Cross multiply
    31,908x = 47,869.72 × 10,020
  4. Step 4: Simplify right side
    31,908x = 479,654,594.40
  5. Step 5: Solve for x
    x = 479,654,594.40/31,908
  6. Step 6: Final answer
    x = 15,032.42

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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.