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Finding the Fourth Proportional to 32,903.30, 49,351.89 and 9,212.99

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Solution

The fourth proportional to 32,903.30, 49,351.89 and 9,212.99 is: 13,818.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,903.30 : 49,351.89 = 9,212.99 : x
  2. Step 2: Convert to fraction form
    32,903.30/49,351.89 = 9,212.99/x
  3. Step 3: Cross multiply
    32,903.30x = 49,351.89 × 9,212.99
  4. Step 4: Simplify right side
    32,903.30x = 454,678,469.05
  5. Step 5: Solve for x
    x = 454,678,469.05/32,903.30
  6. Step 6: Final answer
    x = 13,818.63

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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.