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Finding the Fourth Proportional to 54,327.88, 74,972.74 and 31,682.57

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Solution

The fourth proportional to 54,327.88, 74,972.74 and 31,682.57 is: 43,722.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,327.88 : 74,972.74 = 31,682.57 : x
  2. Step 2: Convert to fraction form
    54,327.88/74,972.74 = 31,682.57/x
  3. Step 3: Cross multiply
    54,327.88x = 74,972.74 × 31,682.57
  4. Step 4: Simplify right side
    54,327.88x = 2,375,329,083.14
  5. Step 5: Solve for x
    x = 2,375,329,083.14/54,327.88
  6. Step 6: Final answer
    x = 43,722.11

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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.