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Finding the Fourth Proportional to 29,065.82, 40,115.22 and 17,741.90

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Solution

The fourth proportional to 29,065.82, 40,115.22 and 17,741.90 is: 24,486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,065.82 : 40,115.22 = 17,741.90 : x
  2. Step 2: Convert to fraction form
    29,065.82/40,115.22 = 17,741.90/x
  3. Step 3: Cross multiply
    29,065.82x = 40,115.22 × 17,741.90
  4. Step 4: Simplify right side
    29,065.82x = 711,720,377.52
  5. Step 5: Solve for x
    x = 711,720,377.52/29,065.82
  6. Step 6: Final answer
    x = 24,486.51

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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.