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Finding the Fourth Proportional to 31,997.40, 47,716.14 and 30,250.50

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Solution

The fourth proportional to 31,997.40, 47,716.14 and 30,250.50 is: 45,111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,997.40 : 47,716.14 = 30,250.50 : x
  2. Step 2: Convert to fraction form
    31,997.40/47,716.14 = 30,250.50/x
  3. Step 3: Cross multiply
    31,997.40x = 47,716.14 × 30,250.50
  4. Step 4: Simplify right side
    31,997.40x = 1,443,437,093.07
  5. Step 5: Solve for x
    x = 1,443,437,093.07/31,997.40
  6. Step 6: Final answer
    x = 45,111.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.