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Finding the Fourth Proportional to 41,768.84, 57,641.82 and 22,907

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Solution

The fourth proportional to 41,768.84, 57,641.82 and 22,907 is: 31,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,768.84 : 57,641.82 = 22,907 : x
  2. Step 2: Convert to fraction form
    41,768.84/57,641.82 = 22,907/x
  3. Step 3: Cross multiply
    41,768.84x = 57,641.82 × 22,907
  4. Step 4: Simplify right side
    41,768.84x = 1,320,401,170.74
  5. Step 5: Solve for x
    x = 1,320,401,170.74/41,768.84
  6. Step 6: Final answer
    x = 31,612.11

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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.