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Finding the Fourth Proportional to 38,965.68, 53,775.72 and 22,198.32

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Solution

The fourth proportional to 38,965.68, 53,775.72 and 22,198.32 is: 30,635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,965.68 : 53,775.72 = 22,198.32 : x
  2. Step 2: Convert to fraction form
    38,965.68/53,775.72 = 22,198.32/x
  3. Step 3: Cross multiply
    38,965.68x = 53,775.72 × 22,198.32
  4. Step 4: Simplify right side
    38,965.68x = 1,193,730,640.79
  5. Step 5: Solve for x
    x = 1,193,730,640.79/38,965.68
  6. Step 6: Final answer
    x = 30,635.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.