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Finding the Fourth Proportional to 41,863.84, 57,771.92 and 23,002.16

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Solution

The fourth proportional to 41,863.84, 57,771.92 and 23,002.16 is: 31,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,863.84 : 57,771.92 = 23,002.16 : x
  2. Step 2: Convert to fraction form
    41,863.84/57,771.92 = 23,002.16/x
  3. Step 3: Cross multiply
    41,863.84x = 57,771.92 × 23,002.16
  4. Step 4: Simplify right side
    41,863.84x = 1,328,878,947.35
  5. Step 5: Solve for x
    x = 1,328,878,947.35/41,863.84
  6. Step 6: Final answer
    x = 31,742.88

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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.