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Finding the Fourth Proportional to 41,546.64, 57,335.72 and 22,685.20

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Solution

The fourth proportional to 41,546.64, 57,335.72 and 22,685.20 is: 31,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,546.64 : 57,335.72 = 22,685.20 : x
  2. Step 2: Convert to fraction form
    41,546.64/57,335.72 = 22,685.20/x
  3. Step 3: Cross multiply
    41,546.64x = 57,335.72 × 22,685.20
  4. Step 4: Simplify right side
    41,546.64x = 1,300,672,275.34
  5. Step 5: Solve for x
    x = 1,300,672,275.34/41,546.64
  6. Step 6: Final answer
    x = 31,306.32

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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.