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Finding the Fourth Proportional to 33,284.70, 49,802.00 and 19,908.50

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Solution

The fourth proportional to 33,284.70, 49,802.00 and 19,908.50 is: 29,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,284.70 : 49,802.00 = 19,908.50 : x
  2. Step 2: Convert to fraction form
    33,284.70/49,802.00 = 19,908.50/x
  3. Step 3: Cross multiply
    33,284.70x = 49,802.00 × 19,908.50
  4. Step 4: Simplify right side
    33,284.70x = 991,482,768.45
  5. Step 5: Solve for x
    x = 991,482,768.45/33,284.70
  6. Step 6: Final answer
    x = 29,787.94

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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.