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Finding the Fourth Proportional to 90,502.32, 135,727.96 and 27,305.32

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Solution

The fourth proportional to 90,502.32, 135,727.96 and 27,305.32 is: 40,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,502.32 : 135,727.96 = 27,305.32 : x
  2. Step 2: Convert to fraction form
    90,502.32/135,727.96 = 27,305.32/x
  3. Step 3: Cross multiply
    90,502.32x = 135,727.96 × 27,305.32
  4. Step 4: Simplify right side
    90,502.32x = 3,706,095,380.75
  5. Step 5: Solve for x
    x = 3,706,095,380.75/90,502.32
  6. Step 6: Final answer
    x = 40,950.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.