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Finding the Fourth Proportional to 54,339.42, 74,991.27 and 31,372.26

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Solution

The fourth proportional to 54,339.42, 74,991.27 and 31,372.26 is: 43,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,339.42 : 74,991.27 = 31,372.26 : x
  2. Step 2: Convert to fraction form
    54,339.42/74,991.27 = 31,372.26/x
  3. Step 3: Cross multiply
    54,339.42x = 74,991.27 × 31,372.26
  4. Step 4: Simplify right side
    54,339.42x = 2,352,645,620.17
  5. Step 5: Solve for x
    x = 2,352,645,620.17/54,339.42
  6. Step 6: Final answer
    x = 43,295.38

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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.