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Finding the Fourth Proportional to 83,959.68, 115,859.52 and 50,419.20

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Solution

The fourth proportional to 83,959.68, 115,859.52 and 50,419.20 is: 69,575.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,959.68 : 115,859.52 = 50,419.20 : x
  2. Step 2: Convert to fraction form
    83,959.68/115,859.52 = 50,419.20/x
  3. Step 3: Cross multiply
    83,959.68x = 115,859.52 × 50,419.20
  4. Step 4: Simplify right side
    83,959.68x = 5,841,544,310.78
  5. Step 5: Solve for x
    x = 5,841,544,310.78/83,959.68
  6. Step 6: Final answer
    x = 69,575.59

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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.