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Finding the Fourth Proportional to 50,461.96, 75,709.68 and 22,378.18

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Solution

The fourth proportional to 50,461.96, 75,709.68 and 22,378.18 is: 33,574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,461.96 : 75,709.68 = 22,378.18 : x
  2. Step 2: Convert to fraction form
    50,461.96/75,709.68 = 22,378.18/x
  3. Step 3: Cross multiply
    50,461.96x = 75,709.68 × 22,378.18
  4. Step 4: Simplify right side
    50,461.96x = 1,694,244,846.78
  5. Step 5: Solve for x
    x = 1,694,244,846.78/50,461.96
  6. Step 6: Final answer
    x = 33,574.69

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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.