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Finding the Fourth Proportional to 82,358.55, 123,543.90 and 29,761.20

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Solution

The fourth proportional to 82,358.55, 123,543.90 and 29,761.20 is: 44,644.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,358.55 : 123,543.90 = 29,761.20 : x
  2. Step 2: Convert to fraction form
    82,358.55/123,543.90 = 29,761.20/x
  3. Step 3: Cross multiply
    82,358.55x = 123,543.90 × 29,761.20
  4. Step 4: Simplify right side
    82,358.55x = 3,676,814,716.68
  5. Step 5: Solve for x
    x = 3,676,814,716.68/82,358.55
  6. Step 6: Final answer
    x = 44,644.00

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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.