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Finding the Fourth Proportional to 32,400.83, 48,608.03 and 13,680.92

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Solution

The fourth proportional to 32,400.83, 48,608.03 and 13,680.92 is: 20,524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,400.83 : 48,608.03 = 13,680.92 : x
  2. Step 2: Convert to fraction form
    32,400.83/48,608.03 = 13,680.92/x
  3. Step 3: Cross multiply
    32,400.83x = 48,608.03 × 13,680.92
  4. Step 4: Simplify right side
    32,400.83x = 665,002,725.51
  5. Step 5: Solve for x
    x = 665,002,725.51/32,400.83
  6. Step 6: Final answer
    x = 20,524.25

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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.