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Finding the Fourth Proportional to 32,786.33, 49,179.78 and 9,412.76

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Solution

The fourth proportional to 32,786.33, 49,179.78 and 9,412.76 is: 14,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,786.33 : 49,179.78 = 9,412.76 : x
  2. Step 2: Convert to fraction form
    32,786.33/49,179.78 = 9,412.76/x
  3. Step 3: Cross multiply
    32,786.33x = 49,179.78 × 9,412.76
  4. Step 4: Simplify right side
    32,786.33x = 462,917,220.09
  5. Step 5: Solve for x
    x = 462,917,220.09/32,786.33
  6. Step 6: Final answer
    x = 14,119.22

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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.