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Finding the Fourth Proportional to 74,076.09, 102,227.45 and 40,542.09

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Solution

The fourth proportional to 74,076.09, 102,227.45 and 40,542.09 is: 55,949.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,076.09 : 102,227.45 = 40,542.09 : x
  2. Step 2: Convert to fraction form
    74,076.09/102,227.45 = 40,542.09/x
  3. Step 3: Cross multiply
    74,076.09x = 102,227.45 × 40,542.09
  4. Step 4: Simplify right side
    74,076.09x = 4,144,514,275.66
  5. Step 5: Solve for x
    x = 4,144,514,275.66/74,076.09
  6. Step 6: Final answer
    x = 55,949.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.