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Finding the Fourth Proportional to 33,101.53, 49,652.31 and 9,727.97

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Solution

The fourth proportional to 33,101.53, 49,652.31 and 9,727.97 is: 14,591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,101.53 : 49,652.31 = 9,727.97 : x
  2. Step 2: Convert to fraction form
    33,101.53/49,652.31 = 9,727.97/x
  3. Step 3: Cross multiply
    33,101.53x = 49,652.31 × 9,727.97
  4. Step 4: Simplify right side
    33,101.53x = 483,016,182.11
  5. Step 5: Solve for x
    x = 483,016,182.11/33,101.53
  6. Step 6: Final answer
    x = 14,591.96

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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.