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Finding the Fourth Proportional to 32,013.56, 44,178.84 and 17,867

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Solution

The fourth proportional to 32,013.56, 44,178.84 and 17,867 is: 24,656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,013.56 : 44,178.84 = 17,867 : x
  2. Step 2: Convert to fraction form
    32,013.56/44,178.84 = 17,867/x
  3. Step 3: Cross multiply
    32,013.56x = 44,178.84 × 17,867
  4. Step 4: Simplify right side
    32,013.56x = 789,343,334.28
  5. Step 5: Solve for x
    x = 789,343,334.28/32,013.56
  6. Step 6: Final answer
    x = 24,656.53

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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.