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Finding the Fourth Proportional to 75,198.66, 103,769.58 and 42,936.96

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Solution

The fourth proportional to 75,198.66, 103,769.58 and 42,936.96 is: 59,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,198.66 : 103,769.58 = 42,936.96 : x
  2. Step 2: Convert to fraction form
    75,198.66/103,769.58 = 42,936.96/x
  3. Step 3: Cross multiply
    75,198.66x = 103,769.58 × 42,936.96
  4. Step 4: Simplify right side
    75,198.66x = 4,455,550,305.68
  5. Step 5: Solve for x
    x = 4,455,550,305.68/75,198.66
  6. Step 6: Final answer
    x = 59,250.39

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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.