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Finding the Fourth Proportional to 110,651.76, 165,978.66 and 31,765.98

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Solution

The fourth proportional to 110,651.76, 165,978.66 and 31,765.98 is: 47,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,651.76 : 165,978.66 = 31,765.98 : x
  2. Step 2: Convert to fraction form
    110,651.76/165,978.66 = 31,765.98/x
  3. Step 3: Cross multiply
    110,651.76x = 165,978.66 × 31,765.98
  4. Step 4: Simplify right side
    110,651.76x = 5,272,474,793.99
  5. Step 5: Solve for x
    x = 5,272,474,793.99/110,651.76
  6. Step 6: Final answer
    x = 47,649.26

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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.