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Finding the Fourth Proportional to 49,529.36, 74,313 and 29,822

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Solution

The fourth proportional to 49,529.36, 74,313 and 29,822 is: 44,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,529.36 : 74,313 = 29,822 : x
  2. Step 2: Convert to fraction form
    49,529.36/74,313 = 29,822/x
  3. Step 3: Cross multiply
    49,529.36x = 74,313 × 29,822
  4. Step 4: Simplify right side
    49,529.36x = 2,216,162,286
  5. Step 5: Solve for x
    x = 2,216,162,286/49,529.36
  6. Step 6: Final answer
    x = 44,744.42

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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.