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Finding the Fourth Proportional to 75,856.48, 104,687.88 and 41,871.71

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Solution

The fourth proportional to 75,856.48, 104,687.88 and 41,871.71 is: 57,786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,856.48 : 104,687.88 = 41,871.71 : x
  2. Step 2: Convert to fraction form
    75,856.48/104,687.88 = 41,871.71/x
  3. Step 3: Cross multiply
    75,856.48x = 104,687.88 × 41,871.71
  4. Step 4: Simplify right side
    75,856.48x = 4,383,460,656.58
  5. Step 5: Solve for x
    x = 4,383,460,656.58/75,856.48
  6. Step 6: Final answer
    x = 57,786.24

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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.