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Finding the Fourth Proportional to 32,014.46, 44,178.17 and 17,868.22

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Solution

The fourth proportional to 32,014.46, 44,178.17 and 17,868.22 is: 24,657.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,014.46 : 44,178.17 = 17,868.22 : x
  2. Step 2: Convert to fraction form
    32,014.46/44,178.17 = 17,868.22/x
  3. Step 3: Cross multiply
    32,014.46x = 44,178.17 × 17,868.22
  4. Step 4: Simplify right side
    32,014.46x = 789,385,260.76
  5. Step 5: Solve for x
    x = 789,385,260.76/32,014.46
  6. Step 6: Final answer
    x = 24,657.15

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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.