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Finding the Fourth Proportional to 129,162.52, 193,743.51 and 35,668

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Solution

The fourth proportional to 129,162.52, 193,743.51 and 35,668 is: 53,501.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,162.52 : 193,743.51 = 35,668 : x
  2. Step 2: Convert to fraction form
    129,162.52/193,743.51 = 35,668/x
  3. Step 3: Cross multiply
    129,162.52x = 193,743.51 × 35,668
  4. Step 4: Simplify right side
    129,162.52x = 6,910,443,514.68
  5. Step 5: Solve for x
    x = 6,910,443,514.68/129,162.52
  6. Step 6: Final answer
    x = 53,501.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.