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Finding the Fourth Proportional to 30,091.42, 45,144.34 and 9,314.92

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Solution

The fourth proportional to 30,091.42, 45,144.34 and 9,314.92 is: 13,974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,091.42 : 45,144.34 = 9,314.92 : x
  2. Step 2: Convert to fraction form
    30,091.42/45,144.34 = 9,314.92/x
  3. Step 3: Cross multiply
    30,091.42x = 45,144.34 × 9,314.92
  4. Step 4: Simplify right side
    30,091.42x = 420,515,915.55
  5. Step 5: Solve for x
    x = 420,515,915.55/30,091.42
  6. Step 6: Final answer
    x = 13,974.61

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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.