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Finding the Fourth Proportional to 83,716.62, 115,477.74 and 49,702.02

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Solution

The fourth proportional to 83,716.62, 115,477.74 and 49,702.02 is: 68,558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,716.62 : 115,477.74 = 49,702.02 : x
  2. Step 2: Convert to fraction form
    83,716.62/115,477.74 = 49,702.02/x
  3. Step 3: Cross multiply
    83,716.62x = 115,477.74 × 49,702.02
  4. Step 4: Simplify right side
    83,716.62x = 5,739,476,943.03
  5. Step 5: Solve for x
    x = 5,739,476,943.03/83,716.62
  6. Step 6: Final answer
    x = 68,558.39

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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.