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Finding the Fourth Proportional to 55,722.78, 83,605.50 and 33,552

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Solution

The fourth proportional to 55,722.78, 83,605.50 and 33,552 is: 50,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,722.78 : 83,605.50 = 33,552 : x
  2. Step 2: Convert to fraction form
    55,722.78/83,605.50 = 33,552/x
  3. Step 3: Cross multiply
    55,722.78x = 83,605.50 × 33,552
  4. Step 4: Simplify right side
    55,722.78x = 2,805,131,736
  5. Step 5: Solve for x
    x = 2,805,131,736/55,722.78
  6. Step 6: Final answer
    x = 50,340.84

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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.