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Finding the Fourth Proportional to 82,714.52, 114,084.92 and 52,473.76

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Solution

The fourth proportional to 82,714.52, 114,084.92 and 52,473.76 is: 72,375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,714.52 : 114,084.92 = 52,473.76 : x
  2. Step 2: Convert to fraction form
    82,714.52/114,084.92 = 52,473.76/x
  3. Step 3: Cross multiply
    82,714.52x = 114,084.92 × 52,473.76
  4. Step 4: Simplify right side
    82,714.52x = 5,986,464,711.70
  5. Step 5: Solve for x
    x = 5,986,464,711.70/82,714.52
  6. Step 6: Final answer
    x = 72,375.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.