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Finding the Fourth Proportional to 34,387.38, 47,454.75 and 22,443.66

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Solution

The fourth proportional to 34,387.38, 47,454.75 and 22,443.66 is: 30,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,387.38 : 47,454.75 = 22,443.66 : x
  2. Step 2: Convert to fraction form
    34,387.38/47,454.75 = 22,443.66/x
  3. Step 3: Cross multiply
    34,387.38x = 47,454.75 × 22,443.66
  4. Step 4: Simplify right side
    34,387.38x = 1,065,058,274.39
  5. Step 5: Solve for x
    x = 1,065,058,274.39/34,387.38
  6. Step 6: Final answer
    x = 30,972.36

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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.