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Finding the Fourth Proportional to 31,714.50, 47,572.14 and 15,076.14

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Solution

The fourth proportional to 31,714.50, 47,572.14 and 15,076.14 is: 22,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714.50 : 47,572.14 = 15,076.14 : x
  2. Step 2: Convert to fraction form
    31,714.50/47,572.14 = 15,076.14/x
  3. Step 3: Cross multiply
    31,714.50x = 47,572.14 × 15,076.14
  4. Step 4: Simplify right side
    31,714.50x = 717,204,242.74
  5. Step 5: Solve for x
    x = 717,204,242.74/31,714.50
  6. Step 6: Final answer
    x = 22,614.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.