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Finding the Fourth Proportional to 40,774, 56,268.22 and 23,789.92

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Solution

The fourth proportional to 40,774, 56,268.22 and 23,789.92 is: 32,830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,774 : 56,268.22 = 23,789.92 : x
  2. Step 2: Convert to fraction form
    40,774/56,268.22 = 23,789.92/x
  3. Step 3: Cross multiply
    40,774x = 56,268.22 × 23,789.92
  4. Step 4: Simplify right side
    40,774x = 1,338,616,452.34
  5. Step 5: Solve for x
    x = 1,338,616,452.34/40,774
  6. Step 6: Final answer
    x = 32,830.15

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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.