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Finding the Fourth Proportional to 72,046.56, 108,034.10 and 24,648.25

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Solution

The fourth proportional to 72,046.56, 108,034.10 and 24,648.25 is: 36,960.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,046.56 : 108,034.10 = 24,648.25 : x
  2. Step 2: Convert to fraction form
    72,046.56/108,034.10 = 24,648.25/x
  3. Step 3: Cross multiply
    72,046.56x = 108,034.10 × 24,648.25
  4. Step 4: Simplify right side
    72,046.56x = 2,662,851,545.64
  5. Step 5: Solve for x
    x = 2,662,851,545.64/72,046.56
  6. Step 6: Final answer
    x = 36,960.15

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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.