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Finding the Fourth Proportional to 58,682.72, 80,981.92 and 31,825.12

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Solution

The fourth proportional to 58,682.72, 80,981.92 and 31,825.12 is: 43,918.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,682.72 : 80,981.92 = 31,825.12 : x
  2. Step 2: Convert to fraction form
    58,682.72/80,981.92 = 31,825.12/x
  3. Step 3: Cross multiply
    58,682.72x = 80,981.92 × 31,825.12
  4. Step 4: Simplify right side
    58,682.72x = 2,577,259,321.83
  5. Step 5: Solve for x
    x = 2,577,259,321.83/58,682.72
  6. Step 6: Final answer
    x = 43,918.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.