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Finding the Fourth Proportional to 32,254.14, 48,375.72 and 8,562.03

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Solution

The fourth proportional to 32,254.14, 48,375.72 and 8,562.03 is: 12,841.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,254.14 : 48,375.72 = 8,562.03 : x
  2. Step 2: Convert to fraction form
    32,254.14/48,375.72 = 8,562.03/x
  3. Step 3: Cross multiply
    32,254.14x = 48,375.72 × 8,562.03
  4. Step 4: Simplify right side
    32,254.14x = 414,194,365.91
  5. Step 5: Solve for x
    x = 414,194,365.91/32,254.14
  6. Step 6: Final answer
    x = 12,841.59

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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.