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Finding the Fourth Proportional to 78,286.08, 117,447.03 and 33,920.22

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Solution

The fourth proportional to 78,286.08, 117,447.03 and 33,920.22 is: 50,888.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,286.08 : 117,447.03 = 33,920.22 : x
  2. Step 2: Convert to fraction form
    78,286.08/117,447.03 = 33,920.22/x
  3. Step 3: Cross multiply
    78,286.08x = 117,447.03 × 33,920.22
  4. Step 4: Simplify right side
    78,286.08x = 3,983,829,095.95
  5. Step 5: Solve for x
    x = 3,983,829,095.95/78,286.08
  6. Step 6: Final answer
    x = 50,888.09

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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.