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Finding the Fourth Proportional to 71,800.92, 107,723.36 and 36,765.36

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Solution

The fourth proportional to 71,800.92, 107,723.36 and 36,765.36 is: 55,159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,800.92 : 107,723.36 = 36,765.36 : x
  2. Step 2: Convert to fraction form
    71,800.92/107,723.36 = 36,765.36/x
  3. Step 3: Cross multiply
    71,800.92x = 107,723.36 × 36,765.36
  4. Step 4: Simplify right side
    71,800.92x = 3,960,488,110.81
  5. Step 5: Solve for x
    x = 3,960,488,110.81/71,800.92
  6. Step 6: Final answer
    x = 55,159.29

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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.