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Finding the Fourth Proportional to 54,942.50, 82,406.39 and 15,502.79

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Solution

The fourth proportional to 54,942.50, 82,406.39 and 15,502.79 is: 23,252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,942.50 : 82,406.39 = 15,502.79 : x
  2. Step 2: Convert to fraction form
    54,942.50/82,406.39 = 15,502.79/x
  3. Step 3: Cross multiply
    54,942.50x = 82,406.39 × 15,502.79
  4. Step 4: Simplify right side
    54,942.50x = 1,277,528,469.28
  5. Step 5: Solve for x
    x = 1,277,528,469.28/54,942.50
  6. Step 6: Final answer
    x = 23,252.10

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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.