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Finding the Fourth Proportional to 49,381.20, 71,464.50 and 49,381.20

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Solution

The fourth proportional to 49,381.20, 71,464.50 and 49,381.20 is: 71,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,381.20 : 71,464.50 = 49,381.20 : x
  2. Step 2: Convert to fraction form
    49,381.20/71,464.50 = 49,381.20/x
  3. Step 3: Cross multiply
    49,381.20x = 71,464.50 × 49,381.20
  4. Step 4: Simplify right side
    49,381.20x = 3,529,002,767.40
  5. Step 5: Solve for x
    x = 3,529,002,767.40/49,381.20
  6. Step 6: Final answer
    x = 71,464.50

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.