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Finding the Fourth Proportional to 34,656.10, 51,951.39 and 31,574.50

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Solution

The fourth proportional to 34,656.10, 51,951.39 and 31,574.50 is: 47,331.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,656.10 : 51,951.39 = 31,574.50 : x
  2. Step 2: Convert to fraction form
    34,656.10/51,951.39 = 31,574.50/x
  3. Step 3: Cross multiply
    34,656.10x = 51,951.39 × 31,574.50
  4. Step 4: Simplify right side
    34,656.10x = 1,640,339,163.56
  5. Step 5: Solve for x
    x = 1,640,339,163.56/34,656.10
  6. Step 6: Final answer
    x = 47,331.90

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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.