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Finding the Fourth Proportional to 107,132.36, 160,633.72 and 47,957

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Solution

The fourth proportional to 107,132.36, 160,633.72 and 47,957 is: 71,906.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,132.36 : 160,633.72 = 47,957 : x
  2. Step 2: Convert to fraction form
    107,132.36/160,633.72 = 47,957/x
  3. Step 3: Cross multiply
    107,132.36x = 160,633.72 × 47,957
  4. Step 4: Simplify right side
    107,132.36x = 7,703,511,310.04
  5. Step 5: Solve for x
    x = 7,703,511,310.04/107,132.36
  6. Step 6: Final answer
    x = 71,906.48

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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.