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Finding the Fourth Proportional to 33,448.50, 50,176.11 and 8,824.50

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Solution

The fourth proportional to 33,448.50, 50,176.11 and 8,824.50 is: 13,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,448.50 : 50,176.11 = 8,824.50 : x
  2. Step 2: Convert to fraction form
    33,448.50/50,176.11 = 8,824.50/x
  3. Step 3: Cross multiply
    33,448.50x = 50,176.11 × 8,824.50
  4. Step 4: Simplify right side
    33,448.50x = 442,779,082.70
  5. Step 5: Solve for x
    x = 442,779,082.70/33,448.50
  6. Step 6: Final answer
    x = 13,237.64

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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.