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Finding the Fourth Proportional to 41,464, 57,220.36 and 22,601.20

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Solution

The fourth proportional to 41,464, 57,220.36 and 22,601.20 is: 31,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,464 : 57,220.36 = 22,601.20 : x
  2. Step 2: Convert to fraction form
    41,464/57,220.36 = 22,601.20/x
  3. Step 3: Cross multiply
    41,464x = 57,220.36 × 22,601.20
  4. Step 4: Simplify right side
    41,464x = 1,293,248,800.43
  5. Step 5: Solve for x
    x = 1,293,248,800.43/41,464
  6. Step 6: Final answer
    x = 31,189.68

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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.