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Finding the Fourth Proportional to 32,346.56, 48,519.84 and 10,161.88

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Solution

The fourth proportional to 32,346.56, 48,519.84 and 10,161.88 is: 15,242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,346.56 : 48,519.84 = 10,161.88 : x
  2. Step 2: Convert to fraction form
    32,346.56/48,519.84 = 10,161.88/x
  3. Step 3: Cross multiply
    32,346.56x = 48,519.84 × 10,161.88
  4. Step 4: Simplify right side
    32,346.56x = 493,052,791.70
  5. Step 5: Solve for x
    x = 493,052,791.70/32,346.56
  6. Step 6: Final answer
    x = 15,242.82

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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.