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Finding the Fourth Proportional to 33,502, 50,217.96 and 11,307.76

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Solution

The fourth proportional to 33,502, 50,217.96 and 11,307.76 is: 16,949.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,502 : 50,217.96 = 11,307.76 : x
  2. Step 2: Convert to fraction form
    33,502/50,217.96 = 11,307.76/x
  3. Step 3: Cross multiply
    33,502x = 50,217.96 × 11,307.76
  4. Step 4: Simplify right side
    33,502x = 567,852,639.37
  5. Step 5: Solve for x
    x = 567,852,639.37/33,502
  6. Step 6: Final answer
    x = 16,949.81

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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.