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Finding the Fourth Proportional to 38,425.66, 53,018.82 and 22,290.46

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Solution

The fourth proportional to 38,425.66, 53,018.82 and 22,290.46 is: 30,755.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,425.66 : 53,018.82 = 22,290.46 : x
  2. Step 2: Convert to fraction form
    38,425.66/53,018.82 = 22,290.46/x
  3. Step 3: Cross multiply
    38,425.66x = 53,018.82 × 22,290.46
  4. Step 4: Simplify right side
    38,425.66x = 1,181,813,753.91
  5. Step 5: Solve for x
    x = 1,181,813,753.91/38,425.66
  6. Step 6: Final answer
    x = 30,755.85

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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.