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Finding the Fourth Proportional to 69,871.86, 96,423.17 and 38,040.75

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Solution

The fourth proportional to 69,871.86, 96,423.17 and 38,040.75 is: 52,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,871.86 : 96,423.17 = 38,040.75 : x
  2. Step 2: Convert to fraction form
    69,871.86/96,423.17 = 38,040.75/x
  3. Step 3: Cross multiply
    69,871.86x = 96,423.17 × 38,040.75
  4. Step 4: Simplify right side
    69,871.86x = 3,668,009,513.97
  5. Step 5: Solve for x
    x = 3,668,009,513.97/69,871.86
  6. Step 6: Final answer
    x = 52,496.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.