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Finding the Fourth Proportional to 90,563.68, 135,832.32 and 24,007.84

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Solution

The fourth proportional to 90,563.68, 135,832.32 and 24,007.84 is: 36,008.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,563.68 : 135,832.32 = 24,007.84 : x
  2. Step 2: Convert to fraction form
    90,563.68/135,832.32 = 24,007.84/x
  3. Step 3: Cross multiply
    90,563.68x = 135,832.32 × 24,007.84
  4. Step 4: Simplify right side
    90,563.68x = 3,261,040,605.39
  5. Step 5: Solve for x
    x = 3,261,040,605.39/90,563.68
  6. Step 6: Final answer
    x = 36,008.26

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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.