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Finding the Fourth Proportional to 30,002.75, 41,408.84 and 17,434.79

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Solution

The fourth proportional to 30,002.75, 41,408.84 and 17,434.79 is: 24,062.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,002.75 : 41,408.84 = 17,434.79 : x
  2. Step 2: Convert to fraction form
    30,002.75/41,408.84 = 17,434.79/x
  3. Step 3: Cross multiply
    30,002.75x = 41,408.84 × 17,434.79
  4. Step 4: Simplify right side
    30,002.75x = 721,954,266.09
  5. Step 5: Solve for x
    x = 721,954,266.09/30,002.75
  6. Step 6: Final answer
    x = 24,062.94

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