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Finding the Fourth Proportional to 85,871.67, 118,496.97 and 47,627.61

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Solution

The fourth proportional to 85,871.67, 118,496.97 and 47,627.61 is: 65,722.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,871.67 : 118,496.97 = 47,627.61 : x
  2. Step 2: Convert to fraction form
    85,871.67/118,496.97 = 47,627.61/x
  3. Step 3: Cross multiply
    85,871.67x = 118,496.97 × 47,627.61
  4. Step 4: Simplify right side
    85,871.67x = 5,643,727,473.34
  5. Step 5: Solve for x
    x = 5,643,727,473.34/85,871.67
  6. Step 6: Final answer
    x = 65,722.81

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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.