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Finding the Fourth Proportional to 55,897.26, 77,131.74 and 32,022.54

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Solution

The fourth proportional to 55,897.26, 77,131.74 and 32,022.54 is: 44,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,897.26 : 77,131.74 = 32,022.54 : x
  2. Step 2: Convert to fraction form
    55,897.26/77,131.74 = 32,022.54/x
  3. Step 3: Cross multiply
    55,897.26x = 77,131.74 × 32,022.54
  4. Step 4: Simplify right side
    55,897.26x = 2,469,954,229.42
  5. Step 5: Solve for x
    x = 2,469,954,229.42/55,897.26
  6. Step 6: Final answer
    x = 44,187.39

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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.