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Finding the Fourth Proportional to 41,728.34, 57,585.84 and 22,864.34

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Solution

The fourth proportional to 41,728.34, 57,585.84 and 22,864.34 is: 31,553.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,728.34 : 57,585.84 = 22,864.34 : x
  2. Step 2: Convert to fraction form
    41,728.34/57,585.84 = 22,864.34/x
  3. Step 3: Cross multiply
    41,728.34x = 57,585.84 × 22,864.34
  4. Step 4: Simplify right side
    41,728.34x = 1,316,662,224.95
  5. Step 5: Solve for x
    x = 1,316,662,224.95/41,728.34
  6. Step 6: Final answer
    x = 31,553.19

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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.