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Finding the Fourth Proportional to 74,768.31, 103,178.75 and 41,234.31

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Solution

The fourth proportional to 74,768.31, 103,178.75 and 41,234.31 is: 56,902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,768.31 : 103,178.75 = 41,234.31 : x
  2. Step 2: Convert to fraction form
    74,768.31/103,178.75 = 41,234.31/x
  3. Step 3: Cross multiply
    74,768.31x = 103,178.75 × 41,234.31
  4. Step 4: Simplify right side
    74,768.31x = 4,254,504,356.74
  5. Step 5: Solve for x
    x = 4,254,504,356.74/74,768.31
  6. Step 6: Final answer
    x = 56,902.51

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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.