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Finding the Fourth Proportional to 89,813.62, 134,731.16 and 36,494.20

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Solution

The fourth proportional to 89,813.62, 134,731.16 and 36,494.20 is: 54,745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,813.62 : 134,731.16 = 36,494.20 : x
  2. Step 2: Convert to fraction form
    89,813.62/134,731.16 = 36,494.20/x
  3. Step 3: Cross multiply
    89,813.62x = 134,731.16 × 36,494.20
  4. Step 4: Simplify right side
    89,813.62x = 4,916,906,227.35
  5. Step 5: Solve for x
    x = 4,916,906,227.35/89,813.62
  6. Step 6: Final answer
    x = 54,745.67

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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.