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Finding the Fourth Proportional to 110,534.10, 165,797.10 and 31,648.20

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Solution

The fourth proportional to 110,534.10, 165,797.10 and 31,648.20 is: 47,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,534.10 : 165,797.10 = 31,648.20 : x
  2. Step 2: Convert to fraction form
    110,534.10/165,797.10 = 31,648.20/x
  3. Step 3: Cross multiply
    110,534.10x = 165,797.10 × 31,648.20
  4. Step 4: Simplify right side
    110,534.10x = 5,247,179,780.22
  5. Step 5: Solve for x
    x = 5,247,179,780.22/110,534.10
  6. Step 6: Final answer
    x = 47,471.14

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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.