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Finding the Fourth Proportional to 90,226.64, 135,352.92 and 27,902

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Solution

The fourth proportional to 90,226.64, 135,352.92 and 27,902 is: 41,857.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,226.64 : 135,352.92 = 27,902 : x
  2. Step 2: Convert to fraction form
    90,226.64/135,352.92 = 27,902/x
  3. Step 3: Cross multiply
    90,226.64x = 135,352.92 × 27,902
  4. Step 4: Simplify right side
    90,226.64x = 3,776,617,173.84
  5. Step 5: Solve for x
    x = 3,776,617,173.84/90,226.64
  6. Step 6: Final answer
    x = 41,857.01

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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.