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Finding the Fourth Proportional to 78,033.38, 117,069.50 and 22,629.38

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Solution

The fourth proportional to 78,033.38, 117,069.50 and 22,629.38 is: 33,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,033.38 : 117,069.50 = 22,629.38 : x
  2. Step 2: Convert to fraction form
    78,033.38/117,069.50 = 22,629.38/x
  3. Step 3: Cross multiply
    78,033.38x = 117,069.50 × 22,629.38
  4. Step 4: Simplify right side
    78,033.38x = 2,649,209,673.14
  5. Step 5: Solve for x
    x = 2,649,209,673.14/78,033.38
  6. Step 6: Final answer
    x = 33,949.70

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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.