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Finding the Fourth Proportional to 52,782.92, 79,175.06 and 17,243.96

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Solution

The fourth proportional to 52,782.92, 79,175.06 and 17,243.96 is: 25,866.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,782.92 : 79,175.06 = 17,243.96 : x
  2. Step 2: Convert to fraction form
    52,782.92/79,175.06 = 17,243.96/x
  3. Step 3: Cross multiply
    52,782.92x = 79,175.06 × 17,243.96
  4. Step 4: Simplify right side
    52,782.92x = 1,365,291,481.42
  5. Step 5: Solve for x
    x = 1,365,291,481.42/52,782.92
  6. Step 6: Final answer
    x = 25,866.16

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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.