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Finding the Fourth Proportional to 70,117.56, 96,761.50 and 38,286.36

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Solution

The fourth proportional to 70,117.56, 96,761.50 and 38,286.36 is: 52,834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,117.56 : 96,761.50 = 38,286.36 : x
  2. Step 2: Convert to fraction form
    70,117.56/96,761.50 = 38,286.36/x
  3. Step 3: Cross multiply
    70,117.56x = 96,761.50 × 38,286.36
  4. Step 4: Simplify right side
    70,117.56x = 3,704,645,623.14
  5. Step 5: Solve for x
    x = 3,704,645,623.14/70,117.56
  6. Step 6: Final answer
    x = 52,834.78

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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.