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Finding the Fourth Proportional to 83,843.10, 115,702.32 and 45,601.82

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Solution

The fourth proportional to 83,843.10, 115,702.32 and 45,601.82 is: 62,929.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,843.10 : 115,702.32 = 45,601.82 : x
  2. Step 2: Convert to fraction form
    83,843.10/115,702.32 = 45,601.82/x
  3. Step 3: Cross multiply
    83,843.10x = 115,702.32 × 45,601.82
  4. Step 4: Simplify right side
    83,843.10x = 5,276,236,370.22
  5. Step 5: Solve for x
    x = 5,276,236,370.22/83,843.10
  6. Step 6: Final answer
    x = 62,929.88

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