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Finding the Fourth Proportional to 32,452.47, 48,574.82 and 23,536.80

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Solution

The fourth proportional to 32,452.47, 48,574.82 and 23,536.80 is: 35,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,452.47 : 48,574.82 = 23,536.80 : x
  2. Step 2: Convert to fraction form
    32,452.47/48,574.82 = 23,536.80/x
  3. Step 3: Cross multiply
    32,452.47x = 48,574.82 × 23,536.80
  4. Step 4: Simplify right side
    32,452.47x = 1,143,295,882.22
  5. Step 5: Solve for x
    x = 1,143,295,882.22/32,452.47
  6. Step 6: Final answer
    x = 35,229.86

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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.