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Finding the Fourth Proportional to 33,015, 49,477.72 and 15,206.50

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Solution

The fourth proportional to 33,015, 49,477.72 and 15,206.50 is: 22,789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,015 : 49,477.72 = 15,206.50 : x
  2. Step 2: Convert to fraction form
    33,015/49,477.72 = 15,206.50/x
  3. Step 3: Cross multiply
    33,015x = 49,477.72 × 15,206.50
  4. Step 4: Simplify right side
    33,015x = 752,382,949.18
  5. Step 5: Solve for x
    x = 752,382,949.18/33,015
  6. Step 6: Final answer
    x = 22,789.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.