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Finding the Fourth Proportional to 37,851.88, 56,786.16 and 11,558.68

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Solution

The fourth proportional to 37,851.88, 56,786.16 and 11,558.68 is: 17,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,851.88 : 56,786.16 = 11,558.68 : x
  2. Step 2: Convert to fraction form
    37,851.88/56,786.16 = 11,558.68/x
  3. Step 3: Cross multiply
    37,851.88x = 56,786.16 × 11,558.68
  4. Step 4: Simplify right side
    37,851.88x = 656,373,051.87
  5. Step 5: Solve for x
    x = 656,373,051.87/37,851.88
  6. Step 6: Final answer
    x = 17,340.57

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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.