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Finding the Fourth Proportional to 38,008.40, 52,454.16 and 22,092.80

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Solution

The fourth proportional to 38,008.40, 52,454.16 and 22,092.80 is: 30,489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,008.40 : 52,454.16 = 22,092.80 : x
  2. Step 2: Convert to fraction form
    38,008.40/52,454.16 = 22,092.80/x
  3. Step 3: Cross multiply
    38,008.40x = 52,454.16 × 22,092.80
  4. Step 4: Simplify right side
    38,008.40x = 1,158,859,266.05
  5. Step 5: Solve for x
    x = 1,158,859,266.05/38,008.40
  6. Step 6: Final answer
    x = 30,489.56

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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.