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Finding the Fourth Proportional to 89,523.56, 134,266.14 and 36,919.40

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Solution

The fourth proportional to 89,523.56, 134,266.14 and 36,919.40 is: 55,371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,523.56 : 134,266.14 = 36,919.40 : x
  2. Step 2: Convert to fraction form
    89,523.56/134,266.14 = 36,919.40/x
  3. Step 3: Cross multiply
    89,523.56x = 134,266.14 × 36,919.40
  4. Step 4: Simplify right side
    89,523.56x = 4,957,025,329.12
  5. Step 5: Solve for x
    x = 4,957,025,329.12/89,523.56
  6. Step 6: Final answer
    x = 55,371.18

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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.