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Finding the Fourth Proportional to 69,987.66, 96,584.31 and 38,157.90

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Solution

The fourth proportional to 69,987.66, 96,584.31 and 38,157.90 is: 52,658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,987.66 : 96,584.31 = 38,157.90 : x
  2. Step 2: Convert to fraction form
    69,987.66/96,584.31 = 38,157.90/x
  3. Step 3: Cross multiply
    69,987.66x = 96,584.31 × 38,157.90
  4. Step 4: Simplify right side
    69,987.66x = 3,685,454,442.55
  5. Step 5: Solve for x
    x = 3,685,454,442.55/69,987.66
  6. Step 6: Final answer
    x = 52,658.63

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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.