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Finding the Fourth Proportional to 110,395.80, 165,543.90 and 31,491.24

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Solution

The fourth proportional to 110,395.80, 165,543.90 and 31,491.24 is: 47,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,395.80 : 165,543.90 = 31,491.24 : x
  2. Step 2: Convert to fraction form
    110,395.80/165,543.90 = 31,491.24/x
  3. Step 3: Cross multiply
    110,395.80x = 165,543.90 × 31,491.24
  4. Step 4: Simplify right side
    110,395.80x = 5,213,182,685.44
  5. Step 5: Solve for x
    x = 5,213,182,685.44/110,395.80
  6. Step 6: Final answer
    x = 47,222.65

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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.