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Finding the Fourth Proportional to 32,375.57, 48,568.14 and 10,181.57

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Solution

The fourth proportional to 32,375.57, 48,568.14 and 10,181.57 is: 15,273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,375.57 : 48,568.14 = 10,181.57 : x
  2. Step 2: Convert to fraction form
    32,375.57/48,568.14 = 10,181.57/x
  3. Step 3: Cross multiply
    32,375.57x = 48,568.14 × 10,181.57
  4. Step 4: Simplify right side
    32,375.57x = 494,499,674.34
  5. Step 5: Solve for x
    x = 494,499,674.34/32,375.57
  6. Step 6: Final answer
    x = 15,273.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.