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Finding the Fourth Proportional to 41,751.12, 57,616.56 and 22,890

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Solution

The fourth proportional to 41,751.12, 57,616.56 and 22,890 is: 31,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,751.12 : 57,616.56 = 22,890 : x
  2. Step 2: Convert to fraction form
    41,751.12/57,616.56 = 22,890/x
  3. Step 3: Cross multiply
    41,751.12x = 57,616.56 × 22,890
  4. Step 4: Simplify right side
    41,751.12x = 1,318,843,058.40
  5. Step 5: Solve for x
    x = 1,318,843,058.40/41,751.12
  6. Step 6: Final answer
    x = 31,588.21

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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.