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Finding the Fourth Proportional to 110,643.87, 165,965.91 and 47,422.97

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Solution

The fourth proportional to 110,643.87, 165,965.91 and 47,422.97 is: 71,134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,643.87 : 165,965.91 = 47,422.97 : x
  2. Step 2: Convert to fraction form
    110,643.87/165,965.91 = 47,422.97/x
  3. Step 3: Cross multiply
    110,643.87x = 165,965.91 × 47,422.97
  4. Step 4: Simplify right side
    110,643.87x = 7,870,595,304.01
  5. Step 5: Solve for x
    x = 7,870,595,304.01/110,643.87
  6. Step 6: Final answer
    x = 71,134.49

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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.