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Finding the Fourth Proportional to 52,829.69, 79,194.92 and 17,744.74

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Solution

The fourth proportional to 52,829.69, 79,194.92 and 17,744.74 is: 26,600.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,829.69 : 79,194.92 = 17,744.74 : x
  2. Step 2: Convert to fraction form
    52,829.69/79,194.92 = 17,744.74/x
  3. Step 3: Cross multiply
    52,829.69x = 79,194.92 × 17,744.74
  4. Step 4: Simplify right side
    52,829.69x = 1,405,292,978.01
  5. Step 5: Solve for x
    x = 1,405,292,978.01/52,829.69
  6. Step 6: Final answer
    x = 26,600.44

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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.