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Finding the Fourth Proportional to 30,378.97, 45,537.18 and 11,654.02

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Solution

The fourth proportional to 30,378.97, 45,537.18 and 11,654.02 is: 17,469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.97 : 45,537.18 = 11,654.02 : x
  2. Step 2: Convert to fraction form
    30,378.97/45,537.18 = 11,654.02/x
  3. Step 3: Cross multiply
    30,378.97x = 45,537.18 × 11,654.02
  4. Step 4: Simplify right side
    30,378.97x = 530,691,206.46
  5. Step 5: Solve for x
    x = 530,691,206.46/30,378.97
  6. Step 6: Final answer
    x = 17,469.03

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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.