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Finding the Fourth Proportional to 47,057.96, 70,568.10 and 20,744

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Solution

The fourth proportional to 47,057.96, 70,568.10 and 20,744 is: 31,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,057.96 : 70,568.10 = 20,744 : x
  2. Step 2: Convert to fraction form
    47,057.96/70,568.10 = 20,744/x
  3. Step 3: Cross multiply
    47,057.96x = 70,568.10 × 20,744
  4. Step 4: Simplify right side
    47,057.96x = 1,463,864,666.40
  5. Step 5: Solve for x
    x = 1,463,864,666.40/47,057.96
  6. Step 6: Final answer
    x = 31,107.69

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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.