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Finding the Fourth Proportional to 89,838.92, 123,967.80 and 52,105.88

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Solution

The fourth proportional to 89,838.92, 123,967.80 and 52,105.88 is: 71,900.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,838.92 : 123,967.80 = 52,105.88 : x
  2. Step 2: Convert to fraction form
    89,838.92/123,967.80 = 52,105.88/x
  3. Step 3: Cross multiply
    89,838.92x = 123,967.80 × 52,105.88
  4. Step 4: Simplify right side
    89,838.92x = 6,459,451,310.66
  5. Step 5: Solve for x
    x = 6,459,451,310.66/89,838.92
  6. Step 6: Final answer
    x = 71,900.37

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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.