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Finding the Fourth Proportional to 54,769.80, 82,162.80 and 17,333.22

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Solution

The fourth proportional to 54,769.80, 82,162.80 and 17,333.22 is: 26,002.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,769.80 : 82,162.80 = 17,333.22 : x
  2. Step 2: Convert to fraction form
    54,769.80/82,162.80 = 17,333.22/x
  3. Step 3: Cross multiply
    54,769.80x = 82,162.80 × 17,333.22
  4. Step 4: Simplify right side
    54,769.80x = 1,424,145,888.22
  5. Step 5: Solve for x
    x = 1,424,145,888.22/54,769.80
  6. Step 6: Final answer
    x = 26,002.39

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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.