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Finding the Fourth Proportional to 101,414.16, 152,082.36 and 34,841.88

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Solution

The fourth proportional to 101,414.16, 152,082.36 and 34,841.88 is: 52,249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,414.16 : 152,082.36 = 34,841.88 : x
  2. Step 2: Convert to fraction form
    101,414.16/152,082.36 = 34,841.88/x
  3. Step 3: Cross multiply
    101,414.16x = 152,082.36 × 34,841.88
  4. Step 4: Simplify right side
    101,414.16x = 5,298,835,337.24
  5. Step 5: Solve for x
    x = 5,298,835,337.24/101,414.16
  6. Step 6: Final answer
    x = 52,249.46

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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.