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Finding the Fourth Proportional to 84,898.12, 117,163.38 and 47,173

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Solution

The fourth proportional to 84,898.12, 117,163.38 and 47,173 is: 65,100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,898.12 : 117,163.38 = 47,173 : x
  2. Step 2: Convert to fraction form
    84,898.12/117,163.38 = 47,173/x
  3. Step 3: Cross multiply
    84,898.12x = 117,163.38 × 47,173
  4. Step 4: Simplify right side
    84,898.12x = 5,526,948,124.74
  5. Step 5: Solve for x
    x = 5,526,948,124.74/84,898.12
  6. Step 6: Final answer
    x = 65,100.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.