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Finding the Fourth Proportional to 40,667, 56,120.44 and 22,762

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Solution

The fourth proportional to 40,667, 56,120.44 and 22,762 is: 31,411.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,667 : 56,120.44 = 22,762 : x
  2. Step 2: Convert to fraction form
    40,667/56,120.44 = 22,762/x
  3. Step 3: Cross multiply
    40,667x = 56,120.44 × 22,762
  4. Step 4: Simplify right side
    40,667x = 1,277,413,455.28
  5. Step 5: Solve for x
    x = 1,277,413,455.28/40,667
  6. Step 6: Final answer
    x = 31,411.55

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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.