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Finding the Fourth Proportional to 40,189.68, 55,462.52 and 22,039.32

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Solution

The fourth proportional to 40,189.68, 55,462.52 and 22,039.32 is: 30,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,189.68 : 55,462.52 = 22,039.32 : x
  2. Step 2: Convert to fraction form
    40,189.68/55,462.52 = 22,039.32/x
  3. Step 3: Cross multiply
    40,189.68x = 55,462.52 × 22,039.32
  4. Step 4: Simplify right side
    40,189.68x = 1,222,356,372.38
  5. Step 5: Solve for x
    x = 1,222,356,372.38/40,189.68
  6. Step 6: Final answer
    x = 30,414.68

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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.