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Finding the Fourth Proportional to 71,856.96, 107,786.07 and 25,109.94

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Solution

The fourth proportional to 71,856.96, 107,786.07 and 25,109.94 is: 37,665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,856.96 : 107,786.07 = 25,109.94 : x
  2. Step 2: Convert to fraction form
    71,856.96/107,786.07 = 25,109.94/x
  3. Step 3: Cross multiply
    71,856.96x = 107,786.07 × 25,109.94
  4. Step 4: Simplify right side
    71,856.96x = 2,706,501,750.54
  5. Step 5: Solve for x
    x = 2,706,501,750.54/71,856.96
  6. Step 6: Final answer
    x = 37,665.13

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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.