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Finding the Fourth Proportional to 68,092.17, 102,117.48 and 54,733.47

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Solution

The fourth proportional to 68,092.17, 102,117.48 and 54,733.47 is: 82,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,092.17 : 102,117.48 = 54,733.47 : x
  2. Step 2: Convert to fraction form
    68,092.17/102,117.48 = 54,733.47/x
  3. Step 3: Cross multiply
    68,092.17x = 102,117.48 × 54,733.47
  4. Step 4: Simplify right side
    68,092.17x = 5,589,244,476.09
  5. Step 5: Solve for x
    x = 5,589,244,476.09/68,092.17
  6. Step 6: Final answer
    x = 82,083.51

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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.