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Finding the Fourth Proportional to 83,365.68, 125,022.40 and 24,205.44

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Solution

The fourth proportional to 83,365.68, 125,022.40 and 24,205.44 is: 36,300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,365.68 : 125,022.40 = 24,205.44 : x
  2. Step 2: Convert to fraction form
    83,365.68/125,022.40 = 24,205.44/x
  3. Step 3: Cross multiply
    83,365.68x = 125,022.40 × 24,205.44
  4. Step 4: Simplify right side
    83,365.68x = 3,026,222,201.86
  5. Step 5: Solve for x
    x = 3,026,222,201.86/83,365.68
  6. Step 6: Final answer
    x = 36,300.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.