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Finding the Fourth Proportional to 42,081.75, 58,072.82 and 23,218.88

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Solution

The fourth proportional to 42,081.75, 58,072.82 and 23,218.88 is: 32,042.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,081.75 : 58,072.82 = 23,218.88 : x
  2. Step 2: Convert to fraction form
    42,081.75/58,072.82 = 23,218.88/x
  3. Step 3: Cross multiply
    42,081.75x = 58,072.82 × 23,218.88
  4. Step 4: Simplify right side
    42,081.75x = 1,348,385,432.38
  5. Step 5: Solve for x
    x = 1,348,385,432.38/42,081.75
  6. Step 6: Final answer
    x = 32,042.05

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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.