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Finding the Fourth Proportional to 104,816.69, 157,249.64 and 34,696

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Solution

The fourth proportional to 104,816.69, 157,249.64 and 34,696 is: 52,052.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,816.69 : 157,249.64 = 34,696 : x
  2. Step 2: Convert to fraction form
    104,816.69/157,249.64 = 34,696/x
  3. Step 3: Cross multiply
    104,816.69x = 157,249.64 × 34,696
  4. Step 4: Simplify right side
    104,816.69x = 5,455,933,509.44
  5. Step 5: Solve for x
    x = 5,455,933,509.44/104,816.69
  6. Step 6: Final answer
    x = 52,052.14

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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.