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Finding the Fourth Proportional to 29,920.62, 44,879.30 and 9,142.50

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Solution

The fourth proportional to 29,920.62, 44,879.30 and 9,142.50 is: 13,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,920.62 : 44,879.30 = 9,142.50 : x
  2. Step 2: Convert to fraction form
    29,920.62/44,879.30 = 9,142.50/x
  3. Step 3: Cross multiply
    29,920.62x = 44,879.30 × 9,142.50
  4. Step 4: Simplify right side
    29,920.62x = 410,309,000.25
  5. Step 5: Solve for x
    x = 410,309,000.25/29,920.62
  6. Step 6: Final answer
    x = 13,713.25

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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.