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Finding the Fourth Proportional to 41,198.64, 56,900.76 and 27,746.46

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Solution

The fourth proportional to 41,198.64, 56,900.76 and 27,746.46 is: 38,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,198.64 : 56,900.76 = 27,746.46 : x
  2. Step 2: Convert to fraction form
    41,198.64/56,900.76 = 27,746.46/x
  3. Step 3: Cross multiply
    41,198.64x = 56,900.76 × 27,746.46
  4. Step 4: Simplify right side
    41,198.64x = 1,578,794,661.31
  5. Step 5: Solve for x
    x = 1,578,794,661.31/41,198.64
  6. Step 6: Final answer
    x = 38,321.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.