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Finding the Fourth Proportional to 32,245.53, 48,386.97 and 13,523.90

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Solution

The fourth proportional to 32,245.53, 48,386.97 and 13,523.90 is: 20,293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,245.53 : 48,386.97 = 13,523.90 : x
  2. Step 2: Convert to fraction form
    32,245.53/48,386.97 = 13,523.90/x
  3. Step 3: Cross multiply
    32,245.53x = 48,386.97 × 13,523.90
  4. Step 4: Simplify right side
    32,245.53x = 654,380,301.65
  5. Step 5: Solve for x
    x = 654,380,301.65/32,245.53
  6. Step 6: Final answer
    x = 20,293.68

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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.