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Finding the Fourth Proportional to 48,798.84, 73,198.26 and 11,862.84

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Solution

The fourth proportional to 48,798.84, 73,198.26 and 11,862.84 is: 17,794.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,798.84 : 73,198.26 = 11,862.84 : x
  2. Step 2: Convert to fraction form
    48,798.84/73,198.26 = 11,862.84/x
  3. Step 3: Cross multiply
    48,798.84x = 73,198.26 × 11,862.84
  4. Step 4: Simplify right side
    48,798.84x = 868,339,246.66
  5. Step 5: Solve for x
    x = 868,339,246.66/48,798.84
  6. Step 6: Final answer
    x = 17,794.26

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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.