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Finding the Fourth Proportional to 30,494.80, 42,103.56 and 23,408.72

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Solution

The fourth proportional to 30,494.80, 42,103.56 and 23,408.72 is: 32,319.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,494.80 : 42,103.56 = 23,408.72 : x
  2. Step 2: Convert to fraction form
    30,494.80/42,103.56 = 23,408.72/x
  3. Step 3: Cross multiply
    30,494.80x = 42,103.56 × 23,408.72
  4. Step 4: Simplify right side
    30,494.80x = 985,590,447.04
  5. Step 5: Solve for x
    x = 985,590,447.04/30,494.80
  6. Step 6: Final answer
    x = 32,319.95

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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.