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Finding the Fourth Proportional to 54,809.68, 82,208.08 and 15,369.97

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Solution

The fourth proportional to 54,809.68, 82,208.08 and 15,369.97 is: 23,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,809.68 : 82,208.08 = 15,369.97 : x
  2. Step 2: Convert to fraction form
    54,809.68/82,208.08 = 15,369.97/x
  3. Step 3: Cross multiply
    54,809.68x = 82,208.08 × 15,369.97
  4. Step 4: Simplify right side
    54,809.68x = 1,263,535,723.36
  5. Step 5: Solve for x
    x = 1,263,535,723.36/54,809.68
  6. Step 6: Final answer
    x = 23,053.15

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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.