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Finding the Fourth Proportional to 33,288.50, 49,930.02 and 9,914.94

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Solution

The fourth proportional to 33,288.50, 49,930.02 and 9,914.94 is: 14,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,288.50 : 49,930.02 = 9,914.94 : x
  2. Step 2: Convert to fraction form
    33,288.50/49,930.02 = 9,914.94/x
  3. Step 3: Cross multiply
    33,288.50x = 49,930.02 × 9,914.94
  4. Step 4: Simplify right side
    33,288.50x = 495,053,152.50
  5. Step 5: Solve for x
    x = 495,053,152.50/33,288.50
  6. Step 6: Final answer
    x = 14,871.60

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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.