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Finding the Fourth Proportional to 33,795.59, 50,694.08 and 10,422

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Solution

The fourth proportional to 33,795.59, 50,694.08 and 10,422 is: 15,633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,795.59 : 50,694.08 = 10,422 : x
  2. Step 2: Convert to fraction form
    33,795.59/50,694.08 = 10,422/x
  3. Step 3: Cross multiply
    33,795.59x = 50,694.08 × 10,422
  4. Step 4: Simplify right side
    33,795.59x = 528,333,649.65
  5. Step 5: Solve for x
    x = 528,333,649.65/33,795.59
  6. Step 6: Final answer
    x = 15,633.22

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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.