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Finding the Fourth Proportional to 82,042.52, 123,063.78 and 58,714.52

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Solution

The fourth proportional to 82,042.52, 123,063.78 and 58,714.52 is: 88,071.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,042.52 : 123,063.78 = 58,714.52 : x
  2. Step 2: Convert to fraction form
    82,042.52/123,063.78 = 58,714.52/x
  3. Step 3: Cross multiply
    82,042.52x = 123,063.78 × 58,714.52
  4. Step 4: Simplify right side
    82,042.52x = 7,225,630,772.09
  5. Step 5: Solve for x
    x = 7,225,630,772.09/82,042.52
  6. Step 6: Final answer
    x = 88,071.78

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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.