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Finding the Fourth Proportional to 32,211.96, 48,278.28 and 15,353.84

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Solution

The fourth proportional to 32,211.96, 48,278.28 and 15,353.84 is: 23,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,211.96 : 48,278.28 = 15,353.84 : x
  2. Step 2: Convert to fraction form
    32,211.96/48,278.28 = 15,353.84/x
  3. Step 3: Cross multiply
    32,211.96x = 48,278.28 × 15,353.84
  4. Step 4: Simplify right side
    32,211.96x = 741,256,745.20
  5. Step 5: Solve for x
    x = 741,256,745.20/32,211.96
  6. Step 6: Final answer
    x = 23,011.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.