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Finding the Fourth Proportional to 44,450, 61,341 and 24,578

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Solution

The fourth proportional to 44,450, 61,341 and 24,578 is: 33,917.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,450 : 61,341 = 24,578 : x
  2. Step 2: Convert to fraction form
    44,450/61,341 = 24,578/x
  3. Step 3: Cross multiply
    44,450x = 61,341 × 24,578
  4. Step 4: Simplify right side
    44,450x = 1,507,639,098
  5. Step 5: Solve for x
    x = 1,507,639,098/44,450
  6. Step 6: Final answer
    x = 33,917.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.