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Finding the Fourth Proportional to 74,791.78, 103,194.24 and 45,712.78

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Solution

The fourth proportional to 74,791.78, 103,194.24 and 45,712.78 is: 63,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,791.78 : 103,194.24 = 45,712.78 : x
  2. Step 2: Convert to fraction form
    74,791.78/103,194.24 = 45,712.78/x
  3. Step 3: Cross multiply
    74,791.78x = 103,194.24 × 45,712.78
  4. Step 4: Simplify right side
    74,791.78x = 4,717,295,590.39
  5. Step 5: Solve for x
    x = 4,717,295,590.39/74,791.78
  6. Step 6: Final answer
    x = 63,072.38

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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.