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Finding the Fourth Proportional to 90,205.64, 135,321.42 and 27,881

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Solution

The fourth proportional to 90,205.64, 135,321.42 and 27,881 is: 41,825.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,205.64 : 135,321.42 = 27,881 : x
  2. Step 2: Convert to fraction form
    90,205.64/135,321.42 = 27,881/x
  3. Step 3: Cross multiply
    90,205.64x = 135,321.42 × 27,881
  4. Step 4: Simplify right side
    90,205.64x = 3,772,896,511.02
  5. Step 5: Solve for x
    x = 3,772,896,511.02/90,205.64
  6. Step 6: Final answer
    x = 41,825.51

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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.