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Finding the Fourth Proportional to 110,589.60, 165,834.48 and 31,685.76

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Solution

The fourth proportional to 110,589.60, 165,834.48 and 31,685.76 is: 47,514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,589.60 : 165,834.48 = 31,685.76 : x
  2. Step 2: Convert to fraction form
    110,589.60/165,834.48 = 31,685.76/x
  3. Step 3: Cross multiply
    110,589.60x = 165,834.48 × 31,685.76
  4. Step 4: Simplify right side
    110,589.60x = 5,254,591,533.00
  5. Step 5: Solve for x
    x = 5,254,591,533.00/110,589.60
  6. Step 6: Final answer
    x = 47,514.34

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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.