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Finding the Fourth Proportional to 37,957.77, 56,936.76 and 11,662.47

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Solution

The fourth proportional to 37,957.77, 56,936.76 and 11,662.47 is: 17,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,957.77 : 56,936.76 = 11,662.47 : x
  2. Step 2: Convert to fraction form
    37,957.77/56,936.76 = 11,662.47/x
  3. Step 3: Cross multiply
    37,957.77x = 56,936.76 × 11,662.47
  4. Step 4: Simplify right side
    37,957.77x = 664,023,255.40
  5. Step 5: Solve for x
    x = 664,023,255.40/37,957.77
  6. Step 6: Final answer
    x = 17,493.74

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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.