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Finding the Fourth Proportional to 37,846.00, 56,791.68 and 15,659.68

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Solution

The fourth proportional to 37,846.00, 56,791.68 and 15,659.68 is: 23,498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,846.00 : 56,791.68 = 15,659.68 : x
  2. Step 2: Convert to fraction form
    37,846.00/56,791.68 = 15,659.68/x
  3. Step 3: Cross multiply
    37,846.00x = 56,791.68 × 15,659.68
  4. Step 4: Simplify right side
    37,846.00x = 889,339,736.17
  5. Step 5: Solve for x
    x = 889,339,736.17/37,846.00
  6. Step 6: Final answer
    x = 23,498.91

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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.