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Finding the Fourth Proportional to 40,906.38, 56,452.50 and 23,002.14

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Solution

The fourth proportional to 40,906.38, 56,452.50 and 23,002.14 is: 31,743.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,906.38 : 56,452.50 = 23,002.14 : x
  2. Step 2: Convert to fraction form
    40,906.38/56,452.50 = 23,002.14/x
  3. Step 3: Cross multiply
    40,906.38x = 56,452.50 × 23,002.14
  4. Step 4: Simplify right side
    40,906.38x = 1,298,528,308.35
  5. Step 5: Solve for x
    x = 1,298,528,308.35/40,906.38
  6. Step 6: Final answer
    x = 31,743.91

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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.