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Finding the Fourth Proportional to 37,737.50, 56,614.43 and 11,444.22

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Solution

The fourth proportional to 37,737.50, 56,614.43 and 11,444.22 is: 17,168.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,737.50 : 56,614.43 = 11,444.22 : x
  2. Step 2: Convert to fraction form
    37,737.50/56,614.43 = 11,444.22/x
  3. Step 3: Cross multiply
    37,737.50x = 56,614.43 × 11,444.22
  4. Step 4: Simplify right side
    37,737.50x = 647,907,992.09
  5. Step 5: Solve for x
    x = 647,907,992.09/37,737.50
  6. Step 6: Final answer
    x = 17,168.81

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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.