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Finding the Fourth Proportional to 82,146.87, 123,220.29 and 32,250.46

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Solution

The fourth proportional to 82,146.87, 123,220.29 and 32,250.46 is: 48,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,146.87 : 123,220.29 = 32,250.46 : x
  2. Step 2: Convert to fraction form
    82,146.87/123,220.29 = 32,250.46/x
  3. Step 3: Cross multiply
    82,146.87x = 123,220.29 × 32,250.46
  4. Step 4: Simplify right side
    82,146.87x = 3,973,911,033.83
  5. Step 5: Solve for x
    x = 3,973,911,033.83/82,146.87
  6. Step 6: Final answer
    x = 48,375.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.