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Finding the Fourth Proportional to 71,766.32, 107,618.10 and 36,205.76

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Solution

The fourth proportional to 71,766.32, 107,618.10 and 36,205.76 is: 54,292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,766.32 : 107,618.10 = 36,205.76 : x
  2. Step 2: Convert to fraction form
    71,766.32/107,618.10 = 36,205.76/x
  3. Step 3: Cross multiply
    71,766.32x = 107,618.10 × 36,205.76
  4. Step 4: Simplify right side
    71,766.32x = 3,896,395,100.26
  5. Step 5: Solve for x
    x = 3,896,395,100.26/71,766.32
  6. Step 6: Final answer
    x = 54,292.81

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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.