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Finding the Fourth Proportional to 33,229.83, 49,844.74 and 9,856.07

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Solution

The fourth proportional to 33,229.83, 49,844.74 and 9,856.07 is: 14,784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,229.83 : 49,844.74 = 9,856.07 : x
  2. Step 2: Convert to fraction form
    33,229.83/49,844.74 = 9,856.07/x
  3. Step 3: Cross multiply
    33,229.83x = 49,844.74 × 9,856.07
  4. Step 4: Simplify right side
    33,229.83x = 491,272,997.35
  5. Step 5: Solve for x
    x = 491,272,997.35/33,229.83
  6. Step 6: Final answer
    x = 14,784.10

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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.