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Finding the Fourth Proportional to 32,170.82, 44,395.70 and 18,023.76

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Solution

The fourth proportional to 32,170.82, 44,395.70 and 18,023.76 is: 24,872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,170.82 : 44,395.70 = 18,023.76 : x
  2. Step 2: Convert to fraction form
    32,170.82/44,395.70 = 18,023.76/x
  3. Step 3: Cross multiply
    32,170.82x = 44,395.70 × 18,023.76
  4. Step 4: Simplify right side
    32,170.82x = 800,177,351.71
  5. Step 5: Solve for x
    x = 800,177,351.71/32,170.82
  6. Step 6: Final answer
    x = 24,872.77

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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.