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Finding the Fourth Proportional to 69,793.92, 96,316.56 and 37,964.16

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Solution

The fourth proportional to 69,793.92, 96,316.56 and 37,964.16 is: 52,391.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,793.92 : 96,316.56 = 37,964.16 : x
  2. Step 2: Convert to fraction form
    69,793.92/96,316.56 = 37,964.16/x
  3. Step 3: Cross multiply
    69,793.92x = 96,316.56 × 37,964.16
  4. Step 4: Simplify right side
    69,793.92x = 3,656,577,294.49
  5. Step 5: Solve for x
    x = 3,656,577,294.49/69,793.92
  6. Step 6: Final answer
    x = 52,391.06

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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.