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Finding the Fourth Proportional to 86,204.84, 118,964.13 and 47,967.44

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Solution

The fourth proportional to 86,204.84, 118,964.13 and 47,967.44 is: 66,195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,204.84 : 118,964.13 = 47,967.44 : x
  2. Step 2: Convert to fraction form
    86,204.84/118,964.13 = 47,967.44/x
  3. Step 3: Cross multiply
    86,204.84x = 118,964.13 × 47,967.44
  4. Step 4: Simplify right side
    86,204.84x = 5,706,404,767.93
  5. Step 5: Solve for x
    x = 5,706,404,767.93/86,204.84
  6. Step 6: Final answer
    x = 66,195.87

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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.