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Finding the Fourth Proportional to 32,769.68, 49,150.64 and 9,078.96

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Solution

The fourth proportional to 32,769.68, 49,150.64 and 9,078.96 is: 13,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,769.68 : 49,150.64 = 9,078.96 : x
  2. Step 2: Convert to fraction form
    32,769.68/49,150.64 = 9,078.96/x
  3. Step 3: Cross multiply
    32,769.68x = 49,150.64 × 9,078.96
  4. Step 4: Simplify right side
    32,769.68x = 446,236,694.53
  5. Step 5: Solve for x
    x = 446,236,694.53/32,769.68
  6. Step 6: Final answer
    x = 13,617.37

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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.