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Finding the Fourth Proportional to 38,209.29, 52,728.80 and 22,290.66

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Solution

The fourth proportional to 38,209.29, 52,728.80 and 22,290.66 is: 30,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,209.29 : 52,728.80 = 22,290.66 : x
  2. Step 2: Convert to fraction form
    38,209.29/52,728.80 = 22,290.66/x
  3. Step 3: Cross multiply
    38,209.29x = 52,728.80 × 22,290.66
  4. Step 4: Simplify right side
    38,209.29x = 1,175,359,641.55
  5. Step 5: Solve for x
    x = 1,175,359,641.55/38,209.29
  6. Step 6: Final answer
    x = 30,761.10

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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.