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Finding the Fourth Proportional to 86,197.84, 118,954.47 and 47,960.44

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Solution

The fourth proportional to 86,197.84, 118,954.47 and 47,960.44 is: 66,186.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,197.84 : 118,954.47 = 47,960.44 : x
  2. Step 2: Convert to fraction form
    86,197.84/118,954.47 = 47,960.44/x
  3. Step 3: Cross multiply
    86,197.84x = 118,954.47 × 47,960.44
  4. Step 4: Simplify right side
    86,197.84x = 5,705,108,721.17
  5. Step 5: Solve for x
    x = 5,705,108,721.17/86,197.84
  6. Step 6: Final answer
    x = 66,186.21

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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.