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Finding the Fourth Proportional to 31,774.50, 47,664.99 and 10,997.94

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Solution

The fourth proportional to 31,774.50, 47,664.99 and 10,997.94 is: 16,498.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.50 : 47,664.99 = 10,997.94 : x
  2. Step 2: Convert to fraction form
    31,774.50/47,664.99 = 10,997.94/x
  3. Step 3: Cross multiply
    31,774.50x = 47,664.99 × 10,997.94
  4. Step 4: Simplify right side
    31,774.50x = 524,216,700.12
  5. Step 5: Solve for x
    x = 524,216,700.12/31,774.50
  6. Step 6: Final answer
    x = 16,498.03

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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.