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Finding the Fourth Proportional to 42,229.22, 58,255.79 and 27,894.65

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Solution

The fourth proportional to 42,229.22, 58,255.79 and 27,894.65 is: 38,481.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,229.22 : 58,255.79 = 27,894.65 : x
  2. Step 2: Convert to fraction form
    42,229.22/58,255.79 = 27,894.65/x
  3. Step 3: Cross multiply
    42,229.22x = 58,255.79 × 27,894.65
  4. Step 4: Simplify right side
    42,229.22x = 1,625,024,441.77
  5. Step 5: Solve for x
    x = 1,625,024,441.77/42,229.22
  6. Step 6: Final answer
    x = 38,481.05

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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.