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Finding the Fourth Proportional to 69,888.29, 96,446.70 and 38,057.31

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Solution

The fourth proportional to 69,888.29, 96,446.70 and 38,057.31 is: 52,519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,888.29 : 96,446.70 = 38,057.31 : x
  2. Step 2: Convert to fraction form
    69,888.29/96,446.70 = 38,057.31/x
  3. Step 3: Cross multiply
    69,888.29x = 96,446.70 × 38,057.31
  4. Step 4: Simplify right side
    69,888.29x = 3,670,501,960.38
  5. Step 5: Solve for x
    x = 3,670,501,960.38/69,888.29
  6. Step 6: Final answer
    x = 52,519.56

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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.