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Finding the Fourth Proportional to 49,342, 68,093.58 and 26,986

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Solution

The fourth proportional to 49,342, 68,093.58 and 26,986 is: 37,241.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,342 : 68,093.58 = 26,986 : x
  2. Step 2: Convert to fraction form
    49,342/68,093.58 = 26,986/x
  3. Step 3: Cross multiply
    49,342x = 68,093.58 × 26,986
  4. Step 4: Simplify right side
    49,342x = 1,837,573,349.88
  5. Step 5: Solve for x
    x = 1,837,573,349.88/49,342
  6. Step 6: Final answer
    x = 37,241.57

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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.