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Finding the Fourth Proportional to 40,046.27, 55,259.62 and 22,138.38

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Solution

The fourth proportional to 40,046.27, 55,259.62 and 22,138.38 is: 30,548.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,046.27 : 55,259.62 = 22,138.38 : x
  2. Step 2: Convert to fraction form
    40,046.27/55,259.62 = 22,138.38/x
  3. Step 3: Cross multiply
    40,046.27x = 55,259.62 × 22,138.38
  4. Step 4: Simplify right side
    40,046.27x = 1,223,358,410.87
  5. Step 5: Solve for x
    x = 1,223,358,410.87/40,046.27
  6. Step 6: Final answer
    x = 30,548.63

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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.