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Finding the Fourth Proportional to 83,379.61, 115,081.73 and 53,157.97

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Solution

The fourth proportional to 83,379.61, 115,081.73 and 53,157.97 is: 73,369.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,379.61 : 115,081.73 = 53,157.97 : x
  2. Step 2: Convert to fraction form
    83,379.61/115,081.73 = 53,157.97/x
  3. Step 3: Cross multiply
    83,379.61x = 115,081.73 × 53,157.97
  4. Step 4: Simplify right side
    83,379.61x = 6,117,511,150.89
  5. Step 5: Solve for x
    x = 6,117,511,150.89/83,379.61
  6. Step 6: Final answer
    x = 73,369.39

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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.