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Finding the Fourth Proportional to 29,065.92, 40,115.36 and 17,742

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Solution

The fourth proportional to 29,065.92, 40,115.36 and 17,742 is: 24,486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,065.92 : 40,115.36 = 17,742 : x
  2. Step 2: Convert to fraction form
    29,065.92/40,115.36 = 17,742/x
  3. Step 3: Cross multiply
    29,065.92x = 40,115.36 × 17,742
  4. Step 4: Simplify right side
    29,065.92x = 711,726,717.12
  5. Step 5: Solve for x
    x = 711,726,717.12/29,065.92
  6. Step 6: Final answer
    x = 24,486.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.