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Finding the Fourth Proportional to 70,115.57, 96,759.42 and 38,284.46

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Solution

The fourth proportional to 70,115.57, 96,759.42 and 38,284.46 is: 52,832.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,115.57 : 96,759.42 = 38,284.46 : x
  2. Step 2: Convert to fraction form
    70,115.57/96,759.42 = 38,284.46/x
  3. Step 3: Cross multiply
    70,115.57x = 96,759.42 × 38,284.46
  4. Step 4: Simplify right side
    70,115.57x = 3,704,382,144.61
  5. Step 5: Solve for x
    x = 3,704,382,144.61/70,115.57
  6. Step 6: Final answer
    x = 52,832.52

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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.