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Finding the Fourth Proportional to 33,216.42, 49,824.80 and 9,843.06

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Solution

The fourth proportional to 33,216.42, 49,824.80 and 9,843.06 is: 14,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,216.42 : 49,824.80 = 9,843.06 : x
  2. Step 2: Convert to fraction form
    33,216.42/49,824.80 = 9,843.06/x
  3. Step 3: Cross multiply
    33,216.42x = 49,824.80 × 9,843.06
  4. Step 4: Simplify right side
    33,216.42x = 490,428,495.89
  5. Step 5: Solve for x
    x = 490,428,495.89/33,216.42
  6. Step 6: Final answer
    x = 14,764.64

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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.