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Finding the Fourth Proportional to 70,231.38, 96,919.28 and 38,400.28

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Solution

The fourth proportional to 70,231.38, 96,919.28 and 38,400.28 is: 52,992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,231.38 : 96,919.28 = 38,400.28 : x
  2. Step 2: Convert to fraction form
    70,231.38/96,919.28 = 38,400.28/x
  3. Step 3: Cross multiply
    70,231.38x = 96,919.28 × 38,400.28
  4. Step 4: Simplify right side
    70,231.38x = 3,721,727,489.40
  5. Step 5: Solve for x
    x = 3,721,727,489.40/70,231.38
  6. Step 6: Final answer
    x = 52,992.37

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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.