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Finding the Fourth Proportional to 37,640.52, 56,462.94 and 11,342.52

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Solution

The fourth proportional to 37,640.52, 56,462.94 and 11,342.52 is: 17,014.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,640.52 : 56,462.94 = 11,342.52 : x
  2. Step 2: Convert to fraction form
    37,640.52/56,462.94 = 11,342.52/x
  3. Step 3: Cross multiply
    37,640.52x = 56,462.94 × 11,342.52
  4. Step 4: Simplify right side
    37,640.52x = 640,432,026.21
  5. Step 5: Solve for x
    x = 640,432,026.21/37,640.52
  6. Step 6: Final answer
    x = 17,014.43

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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.