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Finding the Fourth Proportional to 110,722.92, 165,945.20 and 47,468.21

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Solution

The fourth proportional to 110,722.92, 165,945.20 and 47,468.21 is: 71,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,722.92 : 165,945.20 = 47,468.21 : x
  2. Step 2: Convert to fraction form
    110,722.92/165,945.20 = 47,468.21/x
  3. Step 3: Cross multiply
    110,722.92x = 165,945.20 × 47,468.21
  4. Step 4: Simplify right side
    110,722.92x = 7,877,120,535.02
  5. Step 5: Solve for x
    x = 7,877,120,535.02/110,722.92
  6. Step 6: Final answer
    x = 71,142.64

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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.