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Finding the Fourth Proportional to 95,171.31, 131,276.94 and 61,224

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Solution

The fourth proportional to 95,171.31, 131,276.94 and 61,224 is: 84,450.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,171.31 : 131,276.94 = 61,224 : x
  2. Step 2: Convert to fraction form
    95,171.31/131,276.94 = 61,224/x
  3. Step 3: Cross multiply
    95,171.31x = 131,276.94 × 61,224
  4. Step 4: Simplify right side
    95,171.31x = 8,037,299,374.56
  5. Step 5: Solve for x
    x = 8,037,299,374.56/95,171.31
  6. Step 6: Final answer
    x = 84,450.86

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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.