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Finding the Fourth Proportional to 33,015.24, 49,523.82 and 8,391.24

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Solution

The fourth proportional to 33,015.24, 49,523.82 and 8,391.24 is: 12,587.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,015.24 : 49,523.82 = 8,391.24 : x
  2. Step 2: Convert to fraction form
    33,015.24/49,523.82 = 8,391.24/x
  3. Step 3: Cross multiply
    33,015.24x = 49,523.82 × 8,391.24
  4. Step 4: Simplify right side
    33,015.24x = 415,566,259.34
  5. Step 5: Solve for x
    x = 415,566,259.34/33,015.24
  6. Step 6: Final answer
    x = 12,587.10

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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.