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Finding the Fourth Proportional to 110,093.88, 165,140.82 and 47,763

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Solution

The fourth proportional to 110,093.88, 165,140.82 and 47,763 is: 71,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,093.88 : 165,140.82 = 47,763 : x
  2. Step 2: Convert to fraction form
    110,093.88/165,140.82 = 47,763/x
  3. Step 3: Cross multiply
    110,093.88x = 165,140.82 × 47,763
  4. Step 4: Simplify right side
    110,093.88x = 7,887,620,985.66
  5. Step 5: Solve for x
    x = 7,887,620,985.66/110,093.88
  6. Step 6: Final answer
    x = 71,644.50

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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.