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Finding the Fourth Proportional to 29,945.98, 44,917.68 and 10,213.12

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Solution

The fourth proportional to 29,945.98, 44,917.68 and 10,213.12 is: 15,319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,945.98 : 44,917.68 = 10,213.12 : x
  2. Step 2: Convert to fraction form
    29,945.98/44,917.68 = 10,213.12/x
  3. Step 3: Cross multiply
    29,945.98x = 44,917.68 × 10,213.12
  4. Step 4: Simplify right side
    29,945.98x = 458,749,655.96
  5. Step 5: Solve for x
    x = 458,749,655.96/29,945.98
  6. Step 6: Final answer
    x = 15,319.24

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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.