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Finding the Fourth Proportional to 47,758.56, 71,637.03 and 16,593

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Solution

The fourth proportional to 47,758.56, 71,637.03 and 16,593 is: 24,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,758.56 : 71,637.03 = 16,593 : x
  2. Step 2: Convert to fraction form
    47,758.56/71,637.03 = 16,593/x
  3. Step 3: Cross multiply
    47,758.56x = 71,637.03 × 16,593
  4. Step 4: Simplify right side
    47,758.56x = 1,188,673,238.79
  5. Step 5: Solve for x
    x = 1,188,673,238.79/47,758.56
  6. Step 6: Final answer
    x = 24,889.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.