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Finding the Fourth Proportional to 33,122.10, 49,683.15 and 8,498.10

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Solution

The fourth proportional to 33,122.10, 49,683.15 and 8,498.10 is: 12,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,122.10 : 49,683.15 = 8,498.10 : x
  2. Step 2: Convert to fraction form
    33,122.10/49,683.15 = 8,498.10/x
  3. Step 3: Cross multiply
    33,122.10x = 49,683.15 × 8,498.10
  4. Step 4: Simplify right side
    33,122.10x = 422,212,377.02
  5. Step 5: Solve for x
    x = 422,212,377.02/33,122.10
  6. Step 6: Final answer
    x = 12,747.15

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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.