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Finding the Fourth Proportional to 55,950.78, 83,926.38 and 22,671.48

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Solution

The fourth proportional to 55,950.78, 83,926.38 and 22,671.48 is: 34,007.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,950.78 : 83,926.38 = 22,671.48 : x
  2. Step 2: Convert to fraction form
    55,950.78/83,926.38 = 22,671.48/x
  3. Step 3: Cross multiply
    55,950.78x = 83,926.38 × 22,671.48
  4. Step 4: Simplify right side
    55,950.78x = 1,902,735,245.64
  5. Step 5: Solve for x
    x = 1,902,735,245.64/55,950.78
  6. Step 6: Final answer
    x = 34,007.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.