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Finding the Fourth Proportional to 65,158.52, 97,750.17 and 22,452.62

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Solution

The fourth proportional to 65,158.52, 97,750.17 and 22,452.62 is: 33,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,158.52 : 97,750.17 = 22,452.62 : x
  2. Step 2: Convert to fraction form
    65,158.52/97,750.17 = 22,452.62/x
  3. Step 3: Cross multiply
    65,158.52x = 97,750.17 × 22,452.62
  4. Step 4: Simplify right side
    65,158.52x = 2,194,747,421.95
  5. Step 5: Solve for x
    x = 2,194,747,421.95/65,158.52
  6. Step 6: Final answer
    x = 33,683.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.