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Finding the Fourth Proportional to 41,455.88, 57,209.12 and 22,593

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Solution

The fourth proportional to 41,455.88, 57,209.12 and 22,593 is: 31,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,455.88 : 57,209.12 = 22,593 : x
  2. Step 2: Convert to fraction form
    41,455.88/57,209.12 = 22,593/x
  3. Step 3: Cross multiply
    41,455.88x = 57,209.12 × 22,593
  4. Step 4: Simplify right side
    41,455.88x = 1,292,525,648.16
  5. Step 5: Solve for x
    x = 1,292,525,648.16/41,455.88
  6. Step 6: Final answer
    x = 31,178.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.