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Finding the Fourth Proportional to 49,093, 67,748.34 and 26,737

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Solution

The fourth proportional to 49,093, 67,748.34 and 26,737 is: 36,897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,093 : 67,748.34 = 26,737 : x
  2. Step 2: Convert to fraction form
    49,093/67,748.34 = 26,737/x
  3. Step 3: Cross multiply
    49,093x = 67,748.34 × 26,737
  4. Step 4: Simplify right side
    49,093x = 1,811,387,366.58
  5. Step 5: Solve for x
    x = 1,811,387,366.58/49,093
  6. Step 6: Final answer
    x = 36,897.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.