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Finding the Fourth Proportional to 33,188.16, 49,781.56 and 8,228.24

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Solution

The fourth proportional to 33,188.16, 49,781.56 and 8,228.24 is: 12,342.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,188.16 : 49,781.56 = 8,228.24 : x
  2. Step 2: Convert to fraction form
    33,188.16/49,781.56 = 8,228.24/x
  3. Step 3: Cross multiply
    33,188.16x = 49,781.56 × 8,228.24
  4. Step 4: Simplify right side
    33,188.16x = 409,614,623.25
  5. Step 5: Solve for x
    x = 409,614,623.25/33,188.16
  6. Step 6: Final answer
    x = 12,342.19

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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.