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Finding the Fourth Proportional to 40,414.72, 55,774.04 and 22,509.73

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Solution

The fourth proportional to 40,414.72, 55,774.04 and 22,509.73 is: 31,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,414.72 : 55,774.04 = 22,509.73 : x
  2. Step 2: Convert to fraction form
    40,414.72/55,774.04 = 22,509.73/x
  3. Step 3: Cross multiply
    40,414.72x = 55,774.04 × 22,509.73
  4. Step 4: Simplify right side
    40,414.72x = 1,255,458,302.54
  5. Step 5: Solve for x
    x = 1,255,458,302.54/40,414.72
  6. Step 6: Final answer
    x = 31,064.39

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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.