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Finding the Fourth Proportional to 32,952.32, 49,422 and 10,766.48

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Solution

The fourth proportional to 32,952.32, 49,422 and 10,766.48 is: 16,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,952.32 : 49,422 = 10,766.48 : x
  2. Step 2: Convert to fraction form
    32,952.32/49,422 = 10,766.48/x
  3. Step 3: Cross multiply
    32,952.32x = 49,422 × 10,766.48
  4. Step 4: Simplify right side
    32,952.32x = 532,100,974.56
  5. Step 5: Solve for x
    x = 532,100,974.56/32,952.32
  6. Step 6: Final answer
    x = 16,147.60

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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.