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Finding the Fourth Proportional to 84,959.56, 117,248.34 and 47,233

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Solution

The fourth proportional to 84,959.56, 117,248.34 and 47,233 is: 65,183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,959.56 : 117,248.34 = 47,233 : x
  2. Step 2: Convert to fraction form
    84,959.56/117,248.34 = 47,233/x
  3. Step 3: Cross multiply
    84,959.56x = 117,248.34 × 47,233
  4. Step 4: Simplify right side
    84,959.56x = 5,537,990,843.22
  5. Step 5: Solve for x
    x = 5,537,990,843.22/84,959.56
  6. Step 6: Final answer
    x = 65,183.85

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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.