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Finding the Fourth Proportional to 90,235.14, 135,365.67 and 27,910.50

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Solution

The fourth proportional to 90,235.14, 135,365.67 and 27,910.50 is: 41,869.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,235.14 : 135,365.67 = 27,910.50 : x
  2. Step 2: Convert to fraction form
    90,235.14/135,365.67 = 27,910.50/x
  3. Step 3: Cross multiply
    90,235.14x = 135,365.67 × 27,910.50
  4. Step 4: Simplify right side
    90,235.14x = 3,778,123,532.54
  5. Step 5: Solve for x
    x = 3,778,123,532.54/90,235.14
  6. Step 6: Final answer
    x = 41,869.76

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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.