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Finding the Fourth Proportional to 54,811.70, 75,640.38 and 29,661.20

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Solution

The fourth proportional to 54,811.70, 75,640.38 and 29,661.20 is: 40,932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,811.70 : 75,640.38 = 29,661.20 : x
  2. Step 2: Convert to fraction form
    54,811.70/75,640.38 = 29,661.20/x
  3. Step 3: Cross multiply
    54,811.70x = 75,640.38 × 29,661.20
  4. Step 4: Simplify right side
    54,811.70x = 2,243,584,439.26
  5. Step 5: Solve for x
    x = 2,243,584,439.26/54,811.70
  6. Step 6: Final answer
    x = 40,932.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.