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Finding the Fourth Proportional to 78,306.13, 117,420.90 and 54,625

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Solution

The fourth proportional to 78,306.13, 117,420.90 and 54,625 is: 81,910.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,306.13 : 117,420.90 = 54,625 : x
  2. Step 2: Convert to fraction form
    78,306.13/117,420.90 = 54,625/x
  3. Step 3: Cross multiply
    78,306.13x = 117,420.90 × 54,625
  4. Step 4: Simplify right side
    78,306.13x = 6,414,116,662.50
  5. Step 5: Solve for x
    x = 6,414,116,662.50/78,306.13
  6. Step 6: Final answer
    x = 81,910.79

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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.