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Finding the Fourth Proportional to 69,843.24, 96,381.36 and 39,627

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Solution

The fourth proportional to 69,843.24, 96,381.36 and 39,627 is: 54,683.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,843.24 : 96,381.36 = 39,627 : x
  2. Step 2: Convert to fraction form
    69,843.24/96,381.36 = 39,627/x
  3. Step 3: Cross multiply
    69,843.24x = 96,381.36 × 39,627
  4. Step 4: Simplify right side
    69,843.24x = 3,819,304,152.72
  5. Step 5: Solve for x
    x = 3,819,304,152.72/69,843.24
  6. Step 6: Final answer
    x = 54,683.95

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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.