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Finding the Fourth Proportional to 84,113.44, 126,257.64 and 61,951.84

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Solution

The fourth proportional to 84,113.44, 126,257.64 and 61,951.84 is: 92,992.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,113.44 : 126,257.64 = 61,951.84 : x
  2. Step 2: Convert to fraction form
    84,113.44/126,257.64 = 61,951.84/x
  3. Step 3: Cross multiply
    84,113.44x = 126,257.64 × 61,951.84
  4. Step 4: Simplify right side
    84,113.44x = 7,821,893,112.06
  5. Step 5: Solve for x
    x = 7,821,893,112.06/84,113.44
  6. Step 6: Final answer
    x = 92,992.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.