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Finding the Fourth Proportional to 38,745.96, 53,449.09 and 31,992.18

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Solution

The fourth proportional to 38,745.96, 53,449.09 and 31,992.18 is: 44,132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,745.96 : 53,449.09 = 31,992.18 : x
  2. Step 2: Convert to fraction form
    38,745.96/53,449.09 = 31,992.18/x
  3. Step 3: Cross multiply
    38,745.96x = 53,449.09 × 31,992.18
  4. Step 4: Simplify right side
    38,745.96x = 1,709,952,908.12
  5. Step 5: Solve for x
    x = 1,709,952,908.12/38,745.96
  6. Step 6: Final answer
    x = 44,132.42

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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.