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Finding the Fourth Proportional to 78,660.34, 117,986.67 and 29,408.50

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Solution

The fourth proportional to 78,660.34, 117,986.67 and 29,408.50 is: 44,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,660.34 : 117,986.67 = 29,408.50 : x
  2. Step 2: Convert to fraction form
    78,660.34/117,986.67 = 29,408.50/x
  3. Step 3: Cross multiply
    78,660.34x = 117,986.67 × 29,408.50
  4. Step 4: Simplify right side
    78,660.34x = 3,469,810,984.70
  5. Step 5: Solve for x
    x = 3,469,810,984.70/78,660.34
  6. Step 6: Final answer
    x = 44,111.31

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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.