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Finding the Fourth Proportional to 33,142.76, 49,706.94 and 10,950.88

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Solution

The fourth proportional to 33,142.76, 49,706.94 and 10,950.88 is: 16,423.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,142.76 : 49,706.94 = 10,950.88 : x
  2. Step 2: Convert to fraction form
    33,142.76/49,706.94 = 10,950.88/x
  3. Step 3: Cross multiply
    33,142.76x = 49,706.94 × 10,950.88
  4. Step 4: Simplify right side
    33,142.76x = 544,334,735.11
  5. Step 5: Solve for x
    x = 544,334,735.11/33,142.76
  6. Step 6: Final answer
    x = 16,423.94

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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.