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Finding the Fourth Proportional to 32,924.86, 49,388.88 and 10,738.21

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Solution

The fourth proportional to 32,924.86, 49,388.88 and 10,738.21 is: 16,107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,924.86 : 49,388.88 = 10,738.21 : x
  2. Step 2: Convert to fraction form
    32,924.86/49,388.88 = 10,738.21/x
  3. Step 3: Cross multiply
    32,924.86x = 49,388.88 × 10,738.21
  4. Step 4: Simplify right side
    32,924.86x = 530,348,165.10
  5. Step 5: Solve for x
    x = 530,348,165.10/32,924.86
  6. Step 6: Final answer
    x = 16,107.83

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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.