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Finding the Fourth Proportional to 38,296.28, 52,841.04 and 22,377.65

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Solution

The fourth proportional to 38,296.28, 52,841.04 and 22,377.65 is: 30,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,296.28 : 52,841.04 = 22,377.65 : x
  2. Step 2: Convert to fraction form
    38,296.28/52,841.04 = 22,377.65/x
  3. Step 3: Cross multiply
    38,296.28x = 52,841.04 × 22,377.65
  4. Step 4: Simplify right side
    38,296.28x = 1,182,458,298.76
  5. Step 5: Solve for x
    x = 1,182,458,298.76/38,296.28
  6. Step 6: Final answer
    x = 30,876.58

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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.