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Finding the Fourth Proportional to 32,240.92, 48,361.72 and 9,751.78

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Solution

The fourth proportional to 32,240.92, 48,361.72 and 9,751.78 is: 14,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,240.92 : 48,361.72 = 9,751.78 : x
  2. Step 2: Convert to fraction form
    32,240.92/48,361.72 = 9,751.78/x
  3. Step 3: Cross multiply
    32,240.92x = 48,361.72 × 9,751.78
  4. Step 4: Simplify right side
    32,240.92x = 471,612,853.86
  5. Step 5: Solve for x
    x = 471,612,853.86/32,240.92
  6. Step 6: Final answer
    x = 14,627.77

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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.