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Finding the Fourth Proportional to 83,796.61, 115,676.60 and 49,816.10

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Solution

The fourth proportional to 83,796.61, 115,676.60 and 49,816.10 is: 68,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,796.61 : 115,676.60 = 49,816.10 : x
  2. Step 2: Convert to fraction form
    83,796.61/115,676.60 = 49,816.10/x
  3. Step 3: Cross multiply
    83,796.61x = 115,676.60 × 49,816.10
  4. Step 4: Simplify right side
    83,796.61x = 5,762,557,073.26
  5. Step 5: Solve for x
    x = 5,762,557,073.26/83,796.61
  6. Step 6: Final answer
    x = 68,768.38

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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.