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Finding the Fourth Proportional to 32,449.58, 48,677.10 and 10,262.46

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Solution

The fourth proportional to 32,449.58, 48,677.10 and 10,262.46 is: 15,394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,449.58 : 48,677.10 = 10,262.46 : x
  2. Step 2: Convert to fraction form
    32,449.58/48,677.10 = 10,262.46/x
  3. Step 3: Cross multiply
    32,449.58x = 48,677.10 × 10,262.46
  4. Step 4: Simplify right side
    32,449.58x = 499,546,993.45
  5. Step 5: Solve for x
    x = 499,546,993.45/32,449.58
  6. Step 6: Final answer
    x = 15,394.56

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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.