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Finding the Fourth Proportional to 69,871.38, 96,422.90 and 38,040.20

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Solution

The fourth proportional to 69,871.38, 96,422.90 and 38,040.20 is: 52,495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,871.38 : 96,422.90 = 38,040.20 : x
  2. Step 2: Convert to fraction form
    69,871.38/96,422.90 = 38,040.20/x
  3. Step 3: Cross multiply
    69,871.38x = 96,422.90 × 38,040.20
  4. Step 4: Simplify right side
    69,871.38x = 3,667,946,400.58
  5. Step 5: Solve for x
    x = 3,667,946,400.58/69,871.38
  6. Step 6: Final answer
    x = 52,495.69

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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.