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Finding the Fourth Proportional to 41,118.84, 56,743.96 and 22,255.96

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Solution

The fourth proportional to 41,118.84, 56,743.96 and 22,255.96 is: 30,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,118.84 : 56,743.96 = 22,255.96 : x
  2. Step 2: Convert to fraction form
    41,118.84/56,743.96 = 22,255.96/x
  3. Step 3: Cross multiply
    41,118.84x = 56,743.96 × 22,255.96
  4. Step 4: Simplify right side
    41,118.84x = 1,262,891,304.00
  5. Step 5: Solve for x
    x = 1,262,891,304.00/41,118.84
  6. Step 6: Final answer
    x = 30,713.20

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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.