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Finding the Fourth Proportional to 89,333.12, 134,019.12 and 27,002

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Solution

The fourth proportional to 89,333.12, 134,019.12 and 27,002 is: 40,508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,333.12 : 134,019.12 = 27,002 : x
  2. Step 2: Convert to fraction form
    89,333.12/134,019.12 = 27,002/x
  3. Step 3: Cross multiply
    89,333.12x = 134,019.12 × 27,002
  4. Step 4: Simplify right side
    89,333.12x = 3,618,784,278.24
  5. Step 5: Solve for x
    x = 3,618,784,278.24/89,333.12
  6. Step 6: Final answer
    x = 40,508.88

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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.