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Finding the Fourth Proportional to 31,499.26, 47,247.70 and 7,806.87

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Solution

The fourth proportional to 31,499.26, 47,247.70 and 7,806.87 is: 11,710.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,499.26 : 47,247.70 = 7,806.87 : x
  2. Step 2: Convert to fraction form
    31,499.26/47,247.70 = 7,806.87/x
  3. Step 3: Cross multiply
    31,499.26x = 47,247.70 × 7,806.87
  4. Step 4: Simplify right side
    31,499.26x = 368,856,376.43
  5. Step 5: Solve for x
    x = 368,856,376.43/31,499.26
  6. Step 6: Final answer
    x = 11,710.00

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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.