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Finding the Fourth Proportional to 31,814.72, 47,649.41 and 15,186.46

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Solution

The fourth proportional to 31,814.72, 47,649.41 and 15,186.46 is: 22,745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,814.72 : 47,649.41 = 15,186.46 : x
  2. Step 2: Convert to fraction form
    31,814.72/47,649.41 = 15,186.46/x
  3. Step 3: Cross multiply
    31,814.72x = 47,649.41 × 15,186.46
  4. Step 4: Simplify right side
    31,814.72x = 723,625,858.99
  5. Step 5: Solve for x
    x = 723,625,858.99/31,814.72
  6. Step 6: Final answer
    x = 22,745.00

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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.