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Finding the Fourth Proportional to 71,417.70, 107,163 and 29,330.10

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Solution

The fourth proportional to 71,417.70, 107,163 and 29,330.10 is: 44,010.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,417.70 : 107,163 = 29,330.10 : x
  2. Step 2: Convert to fraction form
    71,417.70/107,163 = 29,330.10/x
  3. Step 3: Cross multiply
    71,417.70x = 107,163 × 29,330.10
  4. Step 4: Simplify right side
    71,417.70x = 3,143,101,506.30
  5. Step 5: Solve for x
    x = 3,143,101,506.30/71,417.70
  6. Step 6: Final answer
    x = 44,010.12

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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.