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Finding the Fourth Proportional to 41,701.68, 57,546.18 and 22,838.40

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Solution

The fourth proportional to 41,701.68, 57,546.18 and 22,838.40 is: 31,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,701.68 : 57,546.18 = 22,838.40 : x
  2. Step 2: Convert to fraction form
    41,701.68/57,546.18 = 22,838.40/x
  3. Step 3: Cross multiply
    41,701.68x = 57,546.18 × 22,838.40
  4. Step 4: Simplify right side
    41,701.68x = 1,314,262,677.31
  5. Step 5: Solve for x
    x = 1,314,262,677.31/41,701.68
  6. Step 6: Final answer
    x = 31,515.82

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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.