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Finding the Fourth Proportional to 38,275.62, 52,824.51 and 22,365.42

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Solution

The fourth proportional to 38,275.62, 52,824.51 and 22,365.42 is: 30,866.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,275.62 : 52,824.51 = 22,365.42 : x
  2. Step 2: Convert to fraction form
    38,275.62/52,824.51 = 22,365.42/x
  3. Step 3: Cross multiply
    38,275.62x = 52,824.51 × 22,365.42
  4. Step 4: Simplify right side
    38,275.62x = 1,181,442,352.44
  5. Step 5: Solve for x
    x = 1,181,442,352.44/38,275.62
  6. Step 6: Final answer
    x = 30,866.71

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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.