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Finding the Fourth Proportional to 83,781.12, 125,658.72 and 54,407.28

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Solution

The fourth proportional to 83,781.12, 125,658.72 and 54,407.28 is: 81,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,781.12 : 125,658.72 = 54,407.28 : x
  2. Step 2: Convert to fraction form
    83,781.12/125,658.72 = 54,407.28/x
  3. Step 3: Cross multiply
    83,781.12x = 125,658.72 × 54,407.28
  4. Step 4: Simplify right side
    83,781.12x = 6,836,749,163.48
  5. Step 5: Solve for x
    x = 6,836,749,163.48/83,781.12
  6. Step 6: Final answer
    x = 81,602.50

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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.