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Finding the Fourth Proportional to 54,062.16, 74,601.72 and 33,918

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Solution

The fourth proportional to 54,062.16, 74,601.72 and 33,918 is: 46,804.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,062.16 : 74,601.72 = 33,918 : x
  2. Step 2: Convert to fraction form
    54,062.16/74,601.72 = 33,918/x
  3. Step 3: Cross multiply
    54,062.16x = 74,601.72 × 33,918
  4. Step 4: Simplify right side
    54,062.16x = 2,530,341,138.96
  5. Step 5: Solve for x
    x = 2,530,341,138.96/54,062.16
  6. Step 6: Final answer
    x = 46,804.29

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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.