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Finding the Fourth Proportional to 33,309.28, 49,962.72 and 8,349.53

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Solution

The fourth proportional to 33,309.28, 49,962.72 and 8,349.53 is: 12,524.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,309.28 : 49,962.72 = 8,349.53 : x
  2. Step 2: Convert to fraction form
    33,309.28/49,962.72 = 8,349.53/x
  3. Step 3: Cross multiply
    33,309.28x = 49,962.72 × 8,349.53
  4. Step 4: Simplify right side
    33,309.28x = 417,165,292.06
  5. Step 5: Solve for x
    x = 417,165,292.06/33,309.28
  6. Step 6: Final answer
    x = 12,524.00

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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.