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Finding the Fourth Proportional to 54,548.78, 81,823.04 and 15,105.77

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Solution

The fourth proportional to 54,548.78, 81,823.04 and 15,105.77 is: 22,658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,548.78 : 81,823.04 = 15,105.77 : x
  2. Step 2: Convert to fraction form
    54,548.78/81,823.04 = 15,105.77/x
  3. Step 3: Cross multiply
    54,548.78x = 81,823.04 × 15,105.77
  4. Step 4: Simplify right side
    54,548.78x = 1,236,000,022.94
  5. Step 5: Solve for x
    x = 1,236,000,022.94/54,548.78
  6. Step 6: Final answer
    x = 22,658.62

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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.