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Finding the Fourth Proportional to 41,471.38, 57,230.52 and 23,566.40

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Solution

The fourth proportional to 41,471.38, 57,230.52 and 23,566.40 is: 32,521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,471.38 : 57,230.52 = 23,566.40 : x
  2. Step 2: Convert to fraction form
    41,471.38/57,230.52 = 23,566.40/x
  3. Step 3: Cross multiply
    41,471.38x = 57,230.52 × 23,566.40
  4. Step 4: Simplify right side
    41,471.38x = 1,348,717,326.53
  5. Step 5: Solve for x
    x = 1,348,717,326.53/41,471.38
  6. Step 6: Final answer
    x = 32,521.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.