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Finding the Fourth Proportional to 80,192.97, 110,654.10 and 45,738

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Solution

The fourth proportional to 80,192.97, 110,654.10 and 45,738 is: 63,111.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,192.97 : 110,654.10 = 45,738 : x
  2. Step 2: Convert to fraction form
    80,192.97/110,654.10 = 45,738/x
  3. Step 3: Cross multiply
    80,192.97x = 110,654.10 × 45,738
  4. Step 4: Simplify right side
    80,192.97x = 5,061,097,225.80
  5. Step 5: Solve for x
    x = 5,061,097,225.80/80,192.97
  6. Step 6: Final answer
    x = 63,111.48

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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.