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Finding the Fourth Proportional to 83,893.98, 115,754.64 and 61,245.30

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Solution

The fourth proportional to 83,893.98, 115,754.64 and 61,245.30 is: 84,504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,893.98 : 115,754.64 = 61,245.30 : x
  2. Step 2: Convert to fraction form
    83,893.98/115,754.64 = 61,245.30/x
  3. Step 3: Cross multiply
    83,893.98x = 115,754.64 × 61,245.30
  4. Step 4: Simplify right side
    83,893.98x = 7,089,427,653.19
  5. Step 5: Solve for x
    x = 7,089,427,653.19/83,893.98
  6. Step 6: Final answer
    x = 84,504.61

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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.