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Finding the Fourth Proportional to 102,453.91, 153,680.86 and 27,574.22

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Solution

The fourth proportional to 102,453.91, 153,680.86 and 27,574.22 is: 41,361.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,453.91 : 153,680.86 = 27,574.22 : x
  2. Step 2: Convert to fraction form
    102,453.91/153,680.86 = 27,574.22/x
  3. Step 3: Cross multiply
    102,453.91x = 153,680.86 × 27,574.22
  4. Step 4: Simplify right side
    102,453.91x = 4,237,629,843.43
  5. Step 5: Solve for x
    x = 4,237,629,843.43/102,453.91
  6. Step 6: Final answer
    x = 41,361.33

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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.