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Finding the Fourth Proportional to 54,356.78, 74,942.92 and 35,202.71

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Solution

The fourth proportional to 54,356.78, 74,942.92 and 35,202.71 is: 48,534.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,356.78 : 74,942.92 = 35,202.71 : x
  2. Step 2: Convert to fraction form
    54,356.78/74,942.92 = 35,202.71/x
  3. Step 3: Cross multiply
    54,356.78x = 74,942.92 × 35,202.71
  4. Step 4: Simplify right side
    54,356.78x = 2,638,194,110.67
  5. Step 5: Solve for x
    x = 2,638,194,110.67/54,356.78
  6. Step 6: Final answer
    x = 48,534.77

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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.