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Finding the Fourth Proportional to 103,275.85, 154,913.77 and 33,204.37

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Solution

The fourth proportional to 103,275.85, 154,913.77 and 33,204.37 is: 49,806.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,275.85 : 154,913.77 = 33,204.37 : x
  2. Step 2: Convert to fraction form
    103,275.85/154,913.77 = 33,204.37/x
  3. Step 3: Cross multiply
    103,275.85x = 154,913.77 × 33,204.37
  4. Step 4: Simplify right side
    103,275.85x = 5,143,813,791.40
  5. Step 5: Solve for x
    x = 5,143,813,791.40/103,275.85
  6. Step 6: Final answer
    x = 49,806.55

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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.