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Finding the Fourth Proportional to 40,316.38, 55,633.16 and 22,405.66

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Solution

The fourth proportional to 40,316.38, 55,633.16 and 22,405.66 is: 30,917.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,316.38 : 55,633.16 = 22,405.66 : x
  2. Step 2: Convert to fraction form
    40,316.38/55,633.16 = 22,405.66/x
  3. Step 3: Cross multiply
    40,316.38x = 55,633.16 × 22,405.66
  4. Step 4: Simplify right side
    40,316.38x = 1,246,497,667.69
  5. Step 5: Solve for x
    x = 1,246,497,667.69/40,316.38
  6. Step 6: Final answer
    x = 30,917.90

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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.