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Finding the Fourth Proportional to 31,997.48, 47,997.43 and 12,278.03

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Solution

The fourth proportional to 31,997.48, 47,997.43 and 12,278.03 is: 18,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,997.48 : 47,997.43 = 12,278.03 : x
  2. Step 2: Convert to fraction form
    31,997.48/47,997.43 = 12,278.03/x
  3. Step 3: Cross multiply
    31,997.48x = 47,997.43 × 12,278.03
  4. Step 4: Simplify right side
    31,997.48x = 589,313,614.78
  5. Step 5: Solve for x
    x = 589,313,614.78/31,997.48
  6. Step 6: Final answer
    x = 18,417.50

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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.