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Finding the Fourth Proportional to 32,311.57, 48,467.37 and 10,126.68

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Solution

The fourth proportional to 32,311.57, 48,467.37 and 10,126.68 is: 15,190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,311.57 : 48,467.37 = 10,126.68 : x
  2. Step 2: Convert to fraction form
    32,311.57/48,467.37 = 10,126.68/x
  3. Step 3: Cross multiply
    32,311.57x = 48,467.37 × 10,126.68
  4. Step 4: Simplify right side
    32,311.57x = 490,813,304.09
  5. Step 5: Solve for x
    x = 490,813,304.09/32,311.57
  6. Step 6: Final answer
    x = 15,190.02

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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.