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Finding the Fourth Proportional to 32,182.32, 48,273.54 and 13,452.12

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Solution

The fourth proportional to 32,182.32, 48,273.54 and 13,452.12 is: 20,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,182.32 : 48,273.54 = 13,452.12 : x
  2. Step 2: Convert to fraction form
    32,182.32/48,273.54 = 13,452.12/x
  3. Step 3: Cross multiply
    32,182.32x = 48,273.54 × 13,452.12
  4. Step 4: Simplify right side
    32,182.32x = 649,381,452.90
  5. Step 5: Solve for x
    x = 649,381,452.90/32,182.32
  6. Step 6: Final answer
    x = 20,178.21

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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.