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Finding the Fourth Proportional to 49,052, 67,691.76 and 26,696

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Solution

The fourth proportional to 49,052, 67,691.76 and 26,696 is: 36,840.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,052 : 67,691.76 = 26,696 : x
  2. Step 2: Convert to fraction form
    49,052/67,691.76 = 26,696/x
  3. Step 3: Cross multiply
    49,052x = 67,691.76 × 26,696
  4. Step 4: Simplify right side
    49,052x = 1,807,099,224.96
  5. Step 5: Solve for x
    x = 1,807,099,224.96/49,052
  6. Step 6: Final answer
    x = 36,840.48

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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.