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Finding the Fourth Proportional to 32,769.36, 49,149.18 and 11,988

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Solution

The fourth proportional to 32,769.36, 49,149.18 and 11,988 is: 17,980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,769.36 : 49,149.18 = 11,988 : x
  2. Step 2: Convert to fraction form
    32,769.36/49,149.18 = 11,988/x
  3. Step 3: Cross multiply
    32,769.36x = 49,149.18 × 11,988
  4. Step 4: Simplify right side
    32,769.36x = 589,200,369.84
  5. Step 5: Solve for x
    x = 589,200,369.84/32,769.36
  6. Step 6: Final answer
    x = 17,980.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.