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Finding the Fourth Proportional to 69,651, 96,118.38 and 39,843

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Solution

The fourth proportional to 69,651, 96,118.38 and 39,843 is: 54,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,651 : 96,118.38 = 39,843 : x
  2. Step 2: Convert to fraction form
    69,651/96,118.38 = 39,843/x
  3. Step 3: Cross multiply
    69,651x = 96,118.38 × 39,843
  4. Step 4: Simplify right side
    69,651x = 3,829,644,614.34
  5. Step 5: Solve for x
    x = 3,829,644,614.34/69,651
  6. Step 6: Final answer
    x = 54,983.34

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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.