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Finding the Fourth Proportional to 40,550, 55,958.38 and 22,645.27

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Solution

The fourth proportional to 40,550, 55,958.38 and 22,645.27 is: 31,250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,550 : 55,958.38 = 22,645.27 : x
  2. Step 2: Convert to fraction form
    40,550/55,958.38 = 22,645.27/x
  3. Step 3: Cross multiply
    40,550x = 55,958.38 × 22,645.27
  4. Step 4: Simplify right side
    40,550x = 1,267,192,623.86
  5. Step 5: Solve for x
    x = 1,267,192,623.86/40,550
  6. Step 6: Final answer
    x = 31,250.13

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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.