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Finding the Fourth Proportional to 32,562.56, 48,843.31 and 10,375.64

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Solution

The fourth proportional to 32,562.56, 48,843.31 and 10,375.64 is: 15,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,562.56 : 48,843.31 = 10,375.64 : x
  2. Step 2: Convert to fraction form
    32,562.56/48,843.31 = 10,375.64/x
  3. Step 3: Cross multiply
    32,562.56x = 48,843.31 × 10,375.64
  4. Step 4: Simplify right side
    32,562.56x = 506,780,513.98
  5. Step 5: Solve for x
    x = 506,780,513.98/32,562.56
  6. Step 6: Final answer
    x = 15,563.29

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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.