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Finding the Fourth Proportional to 71,514.93, 107,197.56 and 24,113.64

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Solution

The fourth proportional to 71,514.93, 107,197.56 and 24,113.64 is: 36,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,514.93 : 107,197.56 = 24,113.64 : x
  2. Step 2: Convert to fraction form
    71,514.93/107,197.56 = 24,113.64/x
  3. Step 3: Cross multiply
    71,514.93x = 107,197.56 × 24,113.64
  4. Step 4: Simplify right side
    71,514.93x = 2,584,923,370.72
  5. Step 5: Solve for x
    x = 2,584,923,370.72/71,514.93
  6. Step 6: Final answer
    x = 36,145.23

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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.