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Finding the Fourth Proportional to 33,181.84, 49,773.12 and 9,808.48

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Solution

The fourth proportional to 33,181.84, 49,773.12 and 9,808.48 is: 14,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,181.84 : 49,773.12 = 9,808.48 : x
  2. Step 2: Convert to fraction form
    33,181.84/49,773.12 = 9,808.48/x
  3. Step 3: Cross multiply
    33,181.84x = 49,773.12 × 9,808.48
  4. Step 4: Simplify right side
    33,181.84x = 488,198,652.06
  5. Step 5: Solve for x
    x = 488,198,652.06/33,181.84
  6. Step 6: Final answer
    x = 14,712.83

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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.