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Finding the Fourth Proportional to 33,224.10, 49,836.35 and 8,264.15

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Solution

The fourth proportional to 33,224.10, 49,836.35 and 8,264.15 is: 12,396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,224.10 : 49,836.35 = 8,264.15 : x
  2. Step 2: Convert to fraction form
    33,224.10/49,836.35 = 8,264.15/x
  3. Step 3: Cross multiply
    33,224.10x = 49,836.35 × 8,264.15
  4. Step 4: Simplify right side
    33,224.10x = 411,855,071.85
  5. Step 5: Solve for x
    x = 411,855,071.85/33,224.10
  6. Step 6: Final answer
    x = 12,396.27

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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.