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Finding the Fourth Proportional to 83,658.72, 125,504.40 and 24,495.36

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Solution

The fourth proportional to 83,658.72, 125,504.40 and 24,495.36 is: 36,747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,658.72 : 125,504.40 = 24,495.36 : x
  2. Step 2: Convert to fraction form
    83,658.72/125,504.40 = 24,495.36/x
  3. Step 3: Cross multiply
    83,658.72x = 125,504.40 × 24,495.36
  4. Step 4: Simplify right side
    83,658.72x = 3,074,275,459.58
  5. Step 5: Solve for x
    x = 3,074,275,459.58/83,658.72
  6. Step 6: Final answer
    x = 36,747.82

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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.