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Finding the Fourth Proportional to 83,578.94, 125,367.02 and 33,657.78

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Solution

The fourth proportional to 83,578.94, 125,367.02 and 33,657.78 is: 50,486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,578.94 : 125,367.02 = 33,657.78 : x
  2. Step 2: Convert to fraction form
    83,578.94/125,367.02 = 33,657.78/x
  3. Step 3: Cross multiply
    83,578.94x = 125,367.02 × 33,657.78
  4. Step 4: Simplify right side
    83,578.94x = 4,219,575,410.13
  5. Step 5: Solve for x
    x = 4,219,575,410.13/83,578.94
  6. Step 6: Final answer
    x = 50,486.11

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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.