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Finding the Fourth Proportional to 41,850, 57,753 and 22,988.34

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Solution

The fourth proportional to 41,850, 57,753 and 22,988.34 is: 31,723.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,850 : 57,753 = 22,988.34 : x
  2. Step 2: Convert to fraction form
    41,850/57,753 = 22,988.34/x
  3. Step 3: Cross multiply
    41,850x = 57,753 × 22,988.34
  4. Step 4: Simplify right side
    41,850x = 1,327,645,600.02
  5. Step 5: Solve for x
    x = 1,327,645,600.02/41,850
  6. Step 6: Final answer
    x = 31,723.91

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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.