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Finding the Fourth Proportional to 81,132.16, 111,959.04 and 45,322

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Solution

The fourth proportional to 81,132.16, 111,959.04 and 45,322 is: 62,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,132.16 : 111,959.04 = 45,322 : x
  2. Step 2: Convert to fraction form
    81,132.16/111,959.04 = 45,322/x
  3. Step 3: Cross multiply
    81,132.16x = 111,959.04 × 45,322
  4. Step 4: Simplify right side
    81,132.16x = 5,074,207,610.88
  5. Step 5: Solve for x
    x = 5,074,207,610.88/81,132.16
  6. Step 6: Final answer
    x = 62,542.49

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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.