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Finding the Fourth Proportional to 32,447.43, 48,652.92 and 10,266.39

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Solution

The fourth proportional to 32,447.43, 48,652.92 and 10,266.39 is: 15,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,447.43 : 48,652.92 = 10,266.39 : x
  2. Step 2: Convert to fraction form
    32,447.43/48,652.92 = 10,266.39/x
  3. Step 3: Cross multiply
    32,447.43x = 48,652.92 × 10,266.39
  4. Step 4: Simplify right side
    32,447.43x = 499,489,851.36
  5. Step 5: Solve for x
    x = 499,489,851.36/32,447.43
  6. Step 6: Final answer
    x = 15,393.82

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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.