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Finding the Fourth Proportional to 32,769.96, 49,154.91 and 8,145.96

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Solution

The fourth proportional to 32,769.96, 49,154.91 and 8,145.96 is: 12,218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,769.96 : 49,154.91 = 8,145.96 : x
  2. Step 2: Convert to fraction form
    32,769.96/49,154.91 = 8,145.96/x
  3. Step 3: Cross multiply
    32,769.96x = 49,154.91 × 8,145.96
  4. Step 4: Simplify right side
    32,769.96x = 400,413,930.66
  5. Step 5: Solve for x
    x = 400,413,930.66/32,769.96
  6. Step 6: Final answer
    x = 12,218.93

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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.