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Finding the Fourth Proportional to 110,643.35, 165,989.70 and 31,751.43

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Solution

The fourth proportional to 110,643.35, 165,989.70 and 31,751.43 is: 47,634.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,643.35 : 165,989.70 = 31,751.43 : x
  2. Step 2: Convert to fraction form
    110,643.35/165,989.70 = 31,751.43/x
  3. Step 3: Cross multiply
    110,643.35x = 165,989.70 × 31,751.43
  4. Step 4: Simplify right side
    110,643.35x = 5,270,410,340.27
  5. Step 5: Solve for x
    x = 5,270,410,340.27/110,643.35
  6. Step 6: Final answer
    x = 47,634.23

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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.