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Finding the Fourth Proportional to 90,589.68, 135,850.50 and 31,411.08

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Solution

The fourth proportional to 90,589.68, 135,850.50 and 31,411.08 is: 47,104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,589.68 : 135,850.50 = 31,411.08 : x
  2. Step 2: Convert to fraction form
    90,589.68/135,850.50 = 31,411.08/x
  3. Step 3: Cross multiply
    90,589.68x = 135,850.50 × 31,411.08
  4. Step 4: Simplify right side
    90,589.68x = 4,267,210,923.54
  5. Step 5: Solve for x
    x = 4,267,210,923.54/90,589.68
  6. Step 6: Final answer
    x = 47,104.82

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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.