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Finding the Fourth Proportional to 102,493.36, 153,727.32 and 27,619.36

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Solution

The fourth proportional to 102,493.36, 153,727.32 and 27,619.36 is: 41,425.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,493.36 : 153,727.32 = 27,619.36 : x
  2. Step 2: Convert to fraction form
    102,493.36/153,727.32 = 27,619.36/x
  3. Step 3: Cross multiply
    102,493.36x = 153,727.32 × 27,619.36
  4. Step 4: Simplify right side
    102,493.36x = 4,245,850,192.92
  5. Step 5: Solve for x
    x = 4,245,850,192.92/102,493.36
  6. Step 6: Final answer
    x = 41,425.61

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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.