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Finding the Fourth Proportional to 49,299, 73,965.78 and 21,599.16

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Solution

The fourth proportional to 49,299, 73,965.78 and 21,599.16 is: 32,406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,299 : 73,965.78 = 21,599.16 : x
  2. Step 2: Convert to fraction form
    49,299/73,965.78 = 21,599.16/x
  3. Step 3: Cross multiply
    49,299x = 73,965.78 × 21,599.16
  4. Step 4: Simplify right side
    49,299x = 1,597,598,716.74
  5. Step 5: Solve for x
    x = 1,597,598,716.74/49,299
  6. Step 6: Final answer
    x = 32,406.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.