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Finding the Fourth Proportional to 40,129.74, 55,377.54 and 22,223.34

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Solution

The fourth proportional to 40,129.74, 55,377.54 and 22,223.34 is: 30,667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,129.74 : 55,377.54 = 22,223.34 : x
  2. Step 2: Convert to fraction form
    40,129.74/55,377.54 = 22,223.34/x
  3. Step 3: Cross multiply
    40,129.74x = 55,377.54 × 22,223.34
  4. Step 4: Simplify right side
    40,129.74x = 1,230,673,899.78
  5. Step 5: Solve for x
    x = 1,230,673,899.78/40,129.74
  6. Step 6: Final answer
    x = 30,667.38

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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.