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Finding the Fourth Proportional to 31,712.70, 47,504.46 and 15,022.14

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Solution

The fourth proportional to 31,712.70, 47,504.46 and 15,022.14 is: 22,502.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,712.70 : 47,504.46 = 15,022.14 : x
  2. Step 2: Convert to fraction form
    31,712.70/47,504.46 = 15,022.14/x
  3. Step 3: Cross multiply
    31,712.70x = 47,504.46 × 15,022.14
  4. Step 4: Simplify right side
    31,712.70x = 713,618,648.74
  5. Step 5: Solve for x
    x = 713,618,648.74/31,712.70
  6. Step 6: Final answer
    x = 22,502.61

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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.