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Finding the Fourth Proportional to 73,987.54, 110,976.45 and 31,865.92

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Solution

The fourth proportional to 73,987.54, 110,976.45 and 31,865.92 is: 47,796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,987.54 : 110,976.45 = 31,865.92 : x
  2. Step 2: Convert to fraction form
    73,987.54/110,976.45 = 31,865.92/x
  3. Step 3: Cross multiply
    73,987.54x = 110,976.45 × 31,865.92
  4. Step 4: Simplify right side
    73,987.54x = 3,536,366,677.58
  5. Step 5: Solve for x
    x = 3,536,366,677.58/73,987.54
  6. Step 6: Final answer
    x = 47,796.79

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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.