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Finding the Fourth Proportional to 33,101.82, 49,660.98 and 9,728.28

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Solution

The fourth proportional to 33,101.82, 49,660.98 and 9,728.28 is: 14,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,101.82 : 49,660.98 = 9,728.28 : x
  2. Step 2: Convert to fraction form
    33,101.82/49,660.98 = 9,728.28/x
  3. Step 3: Cross multiply
    33,101.82x = 49,660.98 × 9,728.28
  4. Step 4: Simplify right side
    33,101.82x = 483,115,918.51
  5. Step 5: Solve for x
    x = 483,115,918.51/33,101.82
  6. Step 6: Final answer
    x = 14,594.84

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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.