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Finding the Fourth Proportional to 32,469.08, 48,697.14 and 10,278.68

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Solution

The fourth proportional to 32,469.08, 48,697.14 and 10,278.68 is: 15,415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,469.08 : 48,697.14 = 10,278.68 : x
  2. Step 2: Convert to fraction form
    32,469.08/48,697.14 = 10,278.68/x
  3. Step 3: Cross multiply
    32,469.08x = 48,697.14 × 10,278.68
  4. Step 4: Simplify right side
    32,469.08x = 500,542,318.98
  5. Step 5: Solve for x
    x = 500,542,318.98/32,469.08
  6. Step 6: Final answer
    x = 15,415.97

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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.