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Finding the Fourth Proportional to 41,785.80, 57,660.18 and 23,638.50

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Solution

The fourth proportional to 41,785.80, 57,660.18 and 23,638.50 is: 32,618.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,785.80 : 57,660.18 = 23,638.50 : x
  2. Step 2: Convert to fraction form
    41,785.80/57,660.18 = 23,638.50/x
  3. Step 3: Cross multiply
    41,785.80x = 57,660.18 × 23,638.50
  4. Step 4: Simplify right side
    41,785.80x = 1,363,000,164.93
  5. Step 5: Solve for x
    x = 1,363,000,164.93/41,785.80
  6. Step 6: Final answer
    x = 32,618.74

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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.