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Finding the Fourth Proportional to 86,197.50, 118,951.38 and 48,471.84

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Solution

The fourth proportional to 86,197.50, 118,951.38 and 48,471.84 is: 66,890.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,197.50 : 118,951.38 = 48,471.84 : x
  2. Step 2: Convert to fraction form
    86,197.50/118,951.38 = 48,471.84/x
  3. Step 3: Cross multiply
    86,197.50x = 118,951.38 × 48,471.84
  4. Step 4: Simplify right side
    86,197.50x = 5,765,792,259.14
  5. Step 5: Solve for x
    x = 5,765,792,259.14/86,197.50
  6. Step 6: Final answer
    x = 66,890.48

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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.