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Finding the Fourth Proportional to 32,474.91, 48,713.78 and 10,289.92

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Solution

The fourth proportional to 32,474.91, 48,713.78 and 10,289.92 is: 15,435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,474.91 : 48,713.78 = 10,289.92 : x
  2. Step 2: Convert to fraction form
    32,474.91/48,713.78 = 10,289.92/x
  3. Step 3: Cross multiply
    32,474.91x = 48,713.78 × 10,289.92
  4. Step 4: Simplify right side
    32,474.91x = 501,260,764.45
  5. Step 5: Solve for x
    x = 501,260,764.45/32,474.91
  6. Step 6: Final answer
    x = 15,435.33

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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.