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Finding the Fourth Proportional to 33,922.88, 50,870.65 and 10,223.09

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Solution

The fourth proportional to 33,922.88, 50,870.65 and 10,223.09 is: 15,330.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,922.88 : 50,870.65 = 10,223.09 : x
  2. Step 2: Convert to fraction form
    33,922.88/50,870.65 = 10,223.09/x
  3. Step 3: Cross multiply
    33,922.88x = 50,870.65 × 10,223.09
  4. Step 4: Simplify right side
    33,922.88x = 520,054,977.13
  5. Step 5: Solve for x
    x = 520,054,977.13/33,922.88
  6. Step 6: Final answer
    x = 15,330.51

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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.