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Finding the Fourth Proportional to 50,938.26, 76,408.34 and 17,659.41

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Solution

The fourth proportional to 50,938.26, 76,408.34 and 17,659.41 is: 26,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,938.26 : 76,408.34 = 17,659.41 : x
  2. Step 2: Convert to fraction form
    50,938.26/76,408.34 = 17,659.41/x
  3. Step 3: Cross multiply
    50,938.26x = 76,408.34 × 17,659.41
  4. Step 4: Simplify right side
    50,938.26x = 1,349,326,115.18
  5. Step 5: Solve for x
    x = 1,349,326,115.18/50,938.26
  6. Step 6: Final answer
    x = 26,489.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.