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Finding the Fourth Proportional to 118,052.73, 177,083.42 and 47,930.49

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Solution

The fourth proportional to 118,052.73, 177,083.42 and 47,930.49 is: 71,897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,052.73 : 177,083.42 = 47,930.49 : x
  2. Step 2: Convert to fraction form
    118,052.73/177,083.42 = 47,930.49/x
  3. Step 3: Cross multiply
    118,052.73x = 177,083.42 × 47,930.49
  4. Step 4: Simplify right side
    118,052.73x = 8,487,694,851.82
  5. Step 5: Solve for x
    x = 8,487,694,851.82/118,052.73
  6. Step 6: Final answer
    x = 71,897.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.