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Finding the Fourth Proportional to 30,198.96, 45,288.18 and 11,474.49

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Solution

The fourth proportional to 30,198.96, 45,288.18 and 11,474.49 is: 17,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,198.96 : 45,288.18 = 11,474.49 : x
  2. Step 2: Convert to fraction form
    30,198.96/45,288.18 = 11,474.49/x
  3. Step 3: Cross multiply
    30,198.96x = 45,288.18 × 11,474.49
  4. Step 4: Simplify right side
    30,198.96x = 519,658,881.75
  5. Step 5: Solve for x
    x = 519,658,881.75/30,198.96
  6. Step 6: Final answer
    x = 17,207.84

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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.