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Finding the Fourth Proportional to 32,924.78, 49,387.20 and 10,738.10

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Solution

The fourth proportional to 32,924.78, 49,387.20 and 10,738.10 is: 16,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,924.78 : 49,387.20 = 10,738.10 : x
  2. Step 2: Convert to fraction form
    32,924.78/49,387.20 = 10,738.10/x
  3. Step 3: Cross multiply
    32,924.78x = 49,387.20 × 10,738.10
  4. Step 4: Simplify right side
    32,924.78x = 530,324,692.32
  5. Step 5: Solve for x
    x = 530,324,692.32/32,924.78
  6. Step 6: Final answer
    x = 16,107.16

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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.