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Finding the Fourth Proportional to 71,566.62, 107,186.45 and 34,152.98

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Solution

The fourth proportional to 71,566.62, 107,186.45 and 34,152.98 is: 51,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,566.62 : 107,186.45 = 34,152.98 : x
  2. Step 2: Convert to fraction form
    71,566.62/107,186.45 = 34,152.98/x
  3. Step 3: Cross multiply
    71,566.62x = 107,186.45 × 34,152.98
  4. Step 4: Simplify right side
    71,566.62x = 3,660,735,976.42
  5. Step 5: Solve for x
    x = 3,660,735,976.42/71,566.62
  6. Step 6: Final answer
    x = 51,151.44

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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.