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Finding the Fourth Proportional to 78,343.97, 117,435.50 and 30,939.84

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Solution

The fourth proportional to 78,343.97, 117,435.50 and 30,939.84 is: 46,377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,343.97 : 117,435.50 = 30,939.84 : x
  2. Step 2: Convert to fraction form
    78,343.97/117,435.50 = 30,939.84/x
  3. Step 3: Cross multiply
    78,343.97x = 117,435.50 × 30,939.84
  4. Step 4: Simplify right side
    78,343.97x = 3,633,435,580.32
  5. Step 5: Solve for x
    x = 3,633,435,580.32/78,343.97
  6. Step 6: Final answer
    x = 46,377.99

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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.