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Finding the Fourth Proportional to 33,243.08, 49,864.76 and 8,283.12

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Solution

The fourth proportional to 33,243.08, 49,864.76 and 8,283.12 is: 12,424.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,243.08 : 49,864.76 = 8,283.12 : x
  2. Step 2: Convert to fraction form
    33,243.08/49,864.76 = 8,283.12/x
  3. Step 3: Cross multiply
    33,243.08x = 49,864.76 × 8,283.12
  4. Step 4: Simplify right side
    33,243.08x = 413,035,790.85
  5. Step 5: Solve for x
    x = 413,035,790.85/33,243.08
  6. Step 6: Final answer
    x = 12,424.71

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1.5x scale

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.