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Finding the Fourth Proportional to 27,697.74, 41,583.51 and 23,564.31

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Solution

The fourth proportional to 27,697.74, 41,583.51 and 23,564.31 is: 35,377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.74 : 41,583.51 = 23,564.31 : x
  2. Step 2: Convert to fraction form
    27,697.74/41,583.51 = 23,564.31/x
  3. Step 3: Cross multiply
    27,697.74x = 41,583.51 × 23,564.31
  4. Step 4: Simplify right side
    27,697.74x = 979,886,720.53
  5. Step 5: Solve for x
    x = 979,886,720.53/27,697.74
  6. Step 6: Final answer
    x = 35,377.86

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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.