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Finding the Fourth Proportional to 40,343.38, 55,667.10 and 22,436

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Solution

The fourth proportional to 40,343.38, 55,667.10 and 22,436 is: 30,957.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,343.38 : 55,667.10 = 22,436 : x
  2. Step 2: Convert to fraction form
    40,343.38/55,667.10 = 22,436/x
  3. Step 3: Cross multiply
    40,343.38x = 55,667.10 × 22,436
  4. Step 4: Simplify right side
    40,343.38x = 1,248,947,055.60
  5. Step 5: Solve for x
    x = 1,248,947,055.60/40,343.38
  6. Step 6: Final answer
    x = 30,957.92

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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.