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Finding the Fourth Proportional to 90,091.50, 135,139.14 and 27,762

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Solution

The fourth proportional to 90,091.50, 135,139.14 and 27,762 is: 41,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,091.50 : 135,139.14 = 27,762 : x
  2. Step 2: Convert to fraction form
    90,091.50/135,139.14 = 27,762/x
  3. Step 3: Cross multiply
    90,091.50x = 135,139.14 × 27,762
  4. Step 4: Simplify right side
    90,091.50x = 3,751,732,804.68
  5. Step 5: Solve for x
    x = 3,751,732,804.68/90,091.50
  6. Step 6: Final answer
    x = 41,643.58

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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.