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Finding the Fourth Proportional to 110,092.88, 165,139.32 and 47,762

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Solution

The fourth proportional to 110,092.88, 165,139.32 and 47,762 is: 71,643

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,092.88 : 165,139.32 = 47,762 : x
  2. Step 2: Convert to fraction form
    110,092.88/165,139.32 = 47,762/x
  3. Step 3: Cross multiply
    110,092.88x = 165,139.32 × 47,762
  4. Step 4: Simplify right side
    110,092.88x = 7,887,384,201.84
  5. Step 5: Solve for x
    x = 7,887,384,201.84/110,092.88
  6. Step 6: Final answer
    x = 71,643

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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.