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Finding the Fourth Proportional to 89,151.64, 133,720.81 and 32,965.48

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Solution

The fourth proportional to 89,151.64, 133,720.81 and 32,965.48 is: 49,445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,151.64 : 133,720.81 = 32,965.48 : x
  2. Step 2: Convert to fraction form
    89,151.64/133,720.81 = 32,965.48/x
  3. Step 3: Cross multiply
    89,151.64x = 133,720.81 × 32,965.48
  4. Step 4: Simplify right side
    89,151.64x = 4,408,170,772.38
  5. Step 5: Solve for x
    x = 4,408,170,772.38/89,151.64
  6. Step 6: Final answer
    x = 49,445.76

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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.