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Finding the Fourth Proportional to 32,906.84, 49,360.14 and 9,533.24

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Solution

The fourth proportional to 32,906.84, 49,360.14 and 9,533.24 is: 14,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,906.84 : 49,360.14 = 9,533.24 : x
  2. Step 2: Convert to fraction form
    32,906.84/49,360.14 = 9,533.24/x
  3. Step 3: Cross multiply
    32,906.84x = 49,360.14 × 9,533.24
  4. Step 4: Simplify right side
    32,906.84x = 470,562,061.05
  5. Step 5: Solve for x
    x = 470,562,061.05/32,906.84
  6. Step 6: Final answer
    x = 14,299.83

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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.