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Finding the Fourth Proportional to 30,234.84, 45,351 and 9,174.12

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Solution

The fourth proportional to 30,234.84, 45,351 and 9,174.12 is: 13,760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,234.84 : 45,351 = 9,174.12 : x
  2. Step 2: Convert to fraction form
    30,234.84/45,351 = 9,174.12/x
  3. Step 3: Cross multiply
    30,234.84x = 45,351 × 9,174.12
  4. Step 4: Simplify right side
    30,234.84x = 416,055,516.12
  5. Step 5: Solve for x
    x = 416,055,516.12/30,234.84
  6. Step 6: Final answer
    x = 13,760.80

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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.