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Finding the Fourth Proportional to 34,500.56, 51,737.71 and 22,651.17

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Solution

The fourth proportional to 34,500.56, 51,737.71 and 22,651.17 is: 33,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,500.56 : 51,737.71 = 22,651.17 : x
  2. Step 2: Convert to fraction form
    34,500.56/51,737.71 = 22,651.17/x
  3. Step 3: Cross multiply
    34,500.56x = 51,737.71 × 22,651.17
  4. Step 4: Simplify right side
    34,500.56x = 1,171,919,413.98
  5. Step 5: Solve for x
    x = 1,171,919,413.98/34,500.56
  6. Step 6: Final answer
    x = 33,968.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.