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Finding the Fourth Proportional to 103,305.50, 154,943.70 and 33,175.70

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Solution

The fourth proportional to 103,305.50, 154,943.70 and 33,175.70 is: 49,758.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,305.50 : 154,943.70 = 33,175.70 : x
  2. Step 2: Convert to fraction form
    103,305.50/154,943.70 = 33,175.70/x
  3. Step 3: Cross multiply
    103,305.50x = 154,943.70 × 33,175.70
  4. Step 4: Simplify right side
    103,305.50x = 5,140,365,708.09
  5. Step 5: Solve for x
    x = 5,140,365,708.09/103,305.50
  6. Step 6: Final answer
    x = 49,758.88

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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.