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Finding the Fourth Proportional to 123,670.32, 185,469 and 52,592.82

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Solution

The fourth proportional to 123,670.32, 185,469 and 52,592.82 is: 78,873.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,670.32 : 185,469 = 52,592.82 : x
  2. Step 2: Convert to fraction form
    123,670.32/185,469 = 52,592.82/x
  3. Step 3: Cross multiply
    123,670.32x = 185,469 × 52,592.82
  4. Step 4: Simplify right side
    123,670.32x = 9,754,337,732.58
  5. Step 5: Solve for x
    x = 9,754,337,732.58/123,670.32
  6. Step 6: Final answer
    x = 78,873.72

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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.