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Finding the Fourth Proportional to 32,446.46, 48,669.39 and 10,259.85

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Solution

The fourth proportional to 32,446.46, 48,669.39 and 10,259.85 is: 15,389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,446.46 : 48,669.39 = 10,259.85 : x
  2. Step 2: Convert to fraction form
    32,446.46/48,669.39 = 10,259.85/x
  3. Step 3: Cross multiply
    32,446.46x = 48,669.39 × 10,259.85
  4. Step 4: Simplify right side
    32,446.46x = 499,340,468.02
  5. Step 5: Solve for x
    x = 499,340,468.02/32,446.46
  6. Step 6: Final answer
    x = 15,389.68

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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.