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Finding the Fourth Proportional to 32,997.78, 49,486.68 and 27,734.40

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Solution

The fourth proportional to 32,997.78, 49,486.68 and 27,734.40 is: 41,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,997.78 : 49,486.68 = 27,734.40 : x
  2. Step 2: Convert to fraction form
    32,997.78/49,486.68 = 27,734.40/x
  3. Step 3: Cross multiply
    32,997.78x = 49,486.68 × 27,734.40
  4. Step 4: Simplify right side
    32,997.78x = 1,372,483,377.79
  5. Step 5: Solve for x
    x = 1,372,483,377.79/32,997.78
  6. Step 6: Final answer
    x = 41,593.20

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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.