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Finding the Fourth Proportional to 70,150.38, 96,806.31 and 38,318.46

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Solution

The fourth proportional to 70,150.38, 96,806.31 and 38,318.46 is: 52,878.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,150.38 : 96,806.31 = 38,318.46 : x
  2. Step 2: Convert to fraction form
    70,150.38/96,806.31 = 38,318.46/x
  3. Step 3: Cross multiply
    70,150.38x = 96,806.31 × 38,318.46
  4. Step 4: Simplify right side
    70,150.38x = 3,709,468,717.48
  5. Step 5: Solve for x
    x = 3,709,468,717.48/70,150.38
  6. Step 6: Final answer
    x = 52,878.81

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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.