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Finding the Fourth Proportional to 101,530.88, 152,306.52 and 34,962.24

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Solution

The fourth proportional to 101,530.88, 152,306.52 and 34,962.24 is: 52,446.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,530.88 : 152,306.52 = 34,962.24 : x
  2. Step 2: Convert to fraction form
    101,530.88/152,306.52 = 34,962.24/x
  3. Step 3: Cross multiply
    101,530.88x = 152,306.52 × 34,962.24
  4. Step 4: Simplify right side
    101,530.88x = 5,324,977,105.80
  5. Step 5: Solve for x
    x = 5,324,977,105.80/101,530.88
  6. Step 6: Final answer
    x = 52,446.87

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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.