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Finding the Fourth Proportional to 91,846.51, 126,753.86 and 61,167

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Solution

The fourth proportional to 91,846.51, 126,753.86 and 61,167 is: 84,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,846.51 : 126,753.86 = 61,167 : x
  2. Step 2: Convert to fraction form
    91,846.51/126,753.86 = 61,167/x
  3. Step 3: Cross multiply
    91,846.51x = 126,753.86 × 61,167
  4. Step 4: Simplify right side
    91,846.51x = 7,753,153,354.62
  5. Step 5: Solve for x
    x = 7,753,153,354.62/91,846.51
  6. Step 6: Final answer
    x = 84,414.24

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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.