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Finding the Fourth Proportional to 31,997.54, 47,997.66 and 9,811.10

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Solution

The fourth proportional to 31,997.54, 47,997.66 and 9,811.10 is: 14,717.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,997.54 : 47,997.66 = 9,811.10 : x
  2. Step 2: Convert to fraction form
    31,997.54/47,997.66 = 9,811.10/x
  3. Step 3: Cross multiply
    31,997.54x = 47,997.66 × 9,811.10
  4. Step 4: Simplify right side
    31,997.54x = 470,909,842.03
  5. Step 5: Solve for x
    x = 470,909,842.03/31,997.54
  6. Step 6: Final answer
    x = 14,717.06

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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.