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Finding the Fourth Proportional to 90,084, 135,147.87 and 27,754.50

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Solution

The fourth proportional to 90,084, 135,147.87 and 27,754.50 is: 41,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,084 : 135,147.87 = 27,754.50 : x
  2. Step 2: Convert to fraction form
    90,084/135,147.87 = 27,754.50/x
  3. Step 3: Cross multiply
    90,084x = 135,147.87 × 27,754.50
  4. Step 4: Simplify right side
    90,084x = 3,750,961,557.92
  5. Step 5: Solve for x
    x = 3,750,961,557.92/90,084
  6. Step 6: Final answer
    x = 41,638.49

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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.