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Finding the Fourth Proportional to 57,299.50, 85,983.82 and 24,467.50

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Solution

The fourth proportional to 57,299.50, 85,983.82 and 24,467.50 is: 36,716.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,299.50 : 85,983.82 = 24,467.50 : x
  2. Step 2: Convert to fraction form
    57,299.50/85,983.82 = 24,467.50/x
  3. Step 3: Cross multiply
    57,299.50x = 85,983.82 × 24,467.50
  4. Step 4: Simplify right side
    57,299.50x = 2,103,809,115.85
  5. Step 5: Solve for x
    x = 2,103,809,115.85/57,299.50
  6. Step 6: Final answer
    x = 36,716.01

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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.