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Finding the Fourth Proportional to 69,872.34, 96,421.38 and 38,040.72

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Solution

The fourth proportional to 69,872.34, 96,421.38 and 38,040.72 is: 52,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,872.34 : 96,421.38 = 38,040.72 : x
  2. Step 2: Convert to fraction form
    69,872.34/96,421.38 = 38,040.72/x
  3. Step 3: Cross multiply
    69,872.34x = 96,421.38 × 38,040.72
  4. Step 4: Simplify right side
    69,872.34x = 3,667,938,718.59
  5. Step 5: Solve for x
    x = 3,667,938,718.59/69,872.34
  6. Step 6: Final answer
    x = 52,494.86

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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.