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Finding the Fourth Proportional to 89,092.77, 122,948.17 and 48,805.65

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Solution

The fourth proportional to 89,092.77, 122,948.17 and 48,805.65 is: 67,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,092.77 : 122,948.17 = 48,805.65 : x
  2. Step 2: Convert to fraction form
    89,092.77/122,948.17 = 48,805.65/x
  3. Step 3: Cross multiply
    89,092.77x = 122,948.17 × 48,805.65
  4. Step 4: Simplify right side
    89,092.77x = 6,000,565,353.16
  5. Step 5: Solve for x
    x = 6,000,565,353.16/89,092.77
  6. Step 6: Final answer
    x = 67,351.88

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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.