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Finding the Fourth Proportional to 32,836.16, 49,253.92 and 8,212.16

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Solution

The fourth proportional to 32,836.16, 49,253.92 and 8,212.16 is: 12,318.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,836.16 : 49,253.92 = 8,212.16 : x
  2. Step 2: Convert to fraction form
    32,836.16/49,253.92 = 8,212.16/x
  3. Step 3: Cross multiply
    32,836.16x = 49,253.92 × 8,212.16
  4. Step 4: Simplify right side
    32,836.16x = 404,481,071.67
  5. Step 5: Solve for x
    x = 404,481,071.67/32,836.16
  6. Step 6: Final answer
    x = 12,318.16

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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.