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Finding the Fourth Proportional to 49,533, 68,356.50 and 29,661

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Solution

The fourth proportional to 49,533, 68,356.50 and 29,661 is: 40,932.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,533 : 68,356.50 = 29,661 : x
  2. Step 2: Convert to fraction form
    49,533/68,356.50 = 29,661/x
  3. Step 3: Cross multiply
    49,533x = 68,356.50 × 29,661
  4. Step 4: Simplify right side
    49,533x = 2,027,522,146.50
  5. Step 5: Solve for x
    x = 2,027,522,146.50/49,533
  6. Step 6: Final answer
    x = 40,932.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.