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Finding the Fourth Proportional to 90,031.56, 135,049.68 and 30,867

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Solution

The fourth proportional to 90,031.56, 135,049.68 and 30,867 is: 46,301.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,031.56 : 135,049.68 = 30,867 : x
  2. Step 2: Convert to fraction form
    90,031.56/135,049.68 = 30,867/x
  3. Step 3: Cross multiply
    90,031.56x = 135,049.68 × 30,867
  4. Step 4: Simplify right side
    90,031.56x = 4,168,578,472.56
  5. Step 5: Solve for x
    x = 4,168,578,472.56/90,031.56
  6. Step 6: Final answer
    x = 46,301.30

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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.