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Finding the Fourth Proportional to 70,167.38, 96,833.16 and 38,338.38

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Solution

The fourth proportional to 70,167.38, 96,833.16 and 38,338.38 is: 52,908.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,167.38 : 96,833.16 = 38,338.38 : x
  2. Step 2: Convert to fraction form
    70,167.38/96,833.16 = 38,338.38/x
  3. Step 3: Cross multiply
    70,167.38x = 96,833.16 × 38,338.38
  4. Step 4: Simplify right side
    70,167.38x = 3,712,426,484.68
  5. Step 5: Solve for x
    x = 3,712,426,484.68/70,167.38
  6. Step 6: Final answer
    x = 52,908.16

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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.