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Finding the Fourth Proportional to 33,164.40, 49,750.25 and 10,969.70

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Solution

The fourth proportional to 33,164.40, 49,750.25 and 10,969.70 is: 16,455.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,164.40 : 49,750.25 = 10,969.70 : x
  2. Step 2: Convert to fraction form
    33,164.40/49,750.25 = 10,969.70/x
  3. Step 3: Cross multiply
    33,164.40x = 49,750.25 × 10,969.70
  4. Step 4: Simplify right side
    33,164.40x = 545,745,013.83
  5. Step 5: Solve for x
    x = 545,745,013.83/33,164.40
  6. Step 6: Final answer
    x = 16,455.75

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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.