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Finding the Fourth Proportional to 29,107, 40,174.14 and 18,494.56

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Solution

The fourth proportional to 29,107, 40,174.14 and 18,494.56 is: 25,526.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,107 : 40,174.14 = 18,494.56 : x
  2. Step 2: Convert to fraction form
    29,107/40,174.14 = 18,494.56/x
  3. Step 3: Cross multiply
    29,107x = 40,174.14 × 18,494.56
  4. Step 4: Simplify right side
    29,107x = 743,003,042.68
  5. Step 5: Solve for x
    x = 743,003,042.68/29,107
  6. Step 6: Final answer
    x = 25,526.61

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1.5x scale

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.