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Finding the Fourth Proportional to 81,542.12, 112,454.50 and 52,832.68

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Solution

The fourth proportional to 81,542.12, 112,454.50 and 52,832.68 is: 72,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,542.12 : 112,454.50 = 52,832.68 : x
  2. Step 2: Convert to fraction form
    81,542.12/112,454.50 = 52,832.68/x
  3. Step 3: Cross multiply
    81,542.12x = 112,454.50 × 52,832.68
  4. Step 4: Simplify right side
    81,542.12x = 5,941,272,613.06
  5. Step 5: Solve for x
    x = 5,941,272,613.06/81,542.12
  6. Step 6: Final answer
    x = 72,861.39

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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.