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Finding the Fourth Proportional to 86,204.25, 118,961.87 and 48,478.50

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Solution

The fourth proportional to 86,204.25, 118,961.87 and 48,478.50 is: 66,900.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,204.25 : 118,961.87 = 48,478.50 : x
  2. Step 2: Convert to fraction form
    86,204.25/118,961.87 = 48,478.50/x
  3. Step 3: Cross multiply
    86,204.25x = 118,961.87 × 48,478.50
  4. Step 4: Simplify right side
    86,204.25x = 5,767,092,772.40
  5. Step 5: Solve for x
    x = 5,767,092,772.40/86,204.25
  6. Step 6: Final answer
    x = 66,900.33

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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.