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Finding the Fourth Proportional to 29,633.85, 44,422.22 and 9,901.44

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Solution

The fourth proportional to 29,633.85, 44,422.22 and 9,901.44 is: 14,842.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,633.85 : 44,422.22 = 9,901.44 : x
  2. Step 2: Convert to fraction form
    29,633.85/44,422.22 = 9,901.44/x
  3. Step 3: Cross multiply
    29,633.85x = 44,422.22 × 9,901.44
  4. Step 4: Simplify right side
    29,633.85x = 439,843,970.75
  5. Step 5: Solve for x
    x = 439,843,970.75/29,633.85
  6. Step 6: Final answer
    x = 14,842.62

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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.