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Finding the Fourth Proportional to 32,899.92, 49,347.96 and 8,274

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Solution

The fourth proportional to 32,899.92, 49,347.96 and 8,274 is: 12,410.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,899.92 : 49,347.96 = 8,274 : x
  2. Step 2: Convert to fraction form
    32,899.92/49,347.96 = 8,274/x
  3. Step 3: Cross multiply
    32,899.92x = 49,347.96 × 8,274
  4. Step 4: Simplify right side
    32,899.92x = 408,305,021.04
  5. Step 5: Solve for x
    x = 408,305,021.04/32,899.92
  6. Step 6: Final answer
    x = 12,410.52

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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.