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Finding the Fourth Proportional to 71,757.69, 107,566.26 and 26,746.10

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Solution

The fourth proportional to 71,757.69, 107,566.26 and 26,746.10 is: 40,092.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,757.69 : 107,566.26 = 26,746.10 : x
  2. Step 2: Convert to fraction form
    71,757.69/107,566.26 = 26,746.10/x
  3. Step 3: Cross multiply
    71,757.69x = 107,566.26 × 26,746.10
  4. Step 4: Simplify right side
    71,757.69x = 2,876,977,946.59
  5. Step 5: Solve for x
    x = 2,876,977,946.59/71,757.69
  6. Step 6: Final answer
    x = 40,092.96

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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.