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Finding the Fourth Proportional to 90,389.84, 135,589.92 and 30,394.24

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Solution

The fourth proportional to 90,389.84, 135,589.92 and 30,394.24 is: 45,593.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,389.84 : 135,589.92 = 30,394.24 : x
  2. Step 2: Convert to fraction form
    90,389.84/135,589.92 = 30,394.24/x
  3. Step 3: Cross multiply
    90,389.84x = 135,589.92 × 30,394.24
  4. Step 4: Simplify right side
    90,389.84x = 4,121,152,570.06
  5. Step 5: Solve for x
    x = 4,121,152,570.06/90,389.84
  6. Step 6: Final answer
    x = 45,593.10

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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.