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Finding the Fourth Proportional to 69,869.80, 96,422.52 and 38,040.76

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Solution

The fourth proportional to 69,869.80, 96,422.52 and 38,040.76 is: 52,497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,869.80 : 96,422.52 = 38,040.76 : x
  2. Step 2: Convert to fraction form
    69,869.80/96,422.52 = 38,040.76/x
  3. Step 3: Cross multiply
    69,869.80x = 96,422.52 × 38,040.76
  4. Step 4: Simplify right side
    69,869.80x = 3,667,985,941.92
  5. Step 5: Solve for x
    x = 3,667,985,941.92/69,869.80
  6. Step 6: Final answer
    x = 52,497.44

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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.