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Finding the Fourth Proportional to 33,758.94, 50,645.16 and 10,384.50

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Solution

The fourth proportional to 33,758.94, 50,645.16 and 10,384.50 is: 15,578.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,758.94 : 50,645.16 = 10,384.50 : x
  2. Step 2: Convert to fraction form
    33,758.94/50,645.16 = 10,384.50/x
  3. Step 3: Cross multiply
    33,758.94x = 50,645.16 × 10,384.50
  4. Step 4: Simplify right side
    33,758.94x = 525,924,664.02
  5. Step 5: Solve for x
    x = 525,924,664.02/33,758.94
  6. Step 6: Final answer
    x = 15,578.83

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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.