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Finding the Fourth Proportional to 69,871.54, 96,422.14 and 38,040.38

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Solution

The fourth proportional to 69,871.54, 96,422.14 and 38,040.38 is: 52,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,871.54 : 96,422.14 = 38,040.38 : x
  2. Step 2: Convert to fraction form
    69,871.54/96,422.14 = 38,040.38/x
  3. Step 3: Cross multiply
    69,871.54x = 96,422.14 × 38,040.38
  4. Step 4: Simplify right side
    69,871.54x = 3,667,934,846.01
  5. Step 5: Solve for x
    x = 3,667,934,846.01/69,871.54
  6. Step 6: Final answer
    x = 52,495.41

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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.