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Finding the Fourth Proportional to 45,184.38, 67,780.09 and 11,904.06

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Solution

The fourth proportional to 45,184.38, 67,780.09 and 11,904.06 is: 17,857.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,184.38 : 67,780.09 = 11,904.06 : x
  2. Step 2: Convert to fraction form
    45,184.38/67,780.09 = 11,904.06/x
  3. Step 3: Cross multiply
    45,184.38x = 67,780.09 × 11,904.06
  4. Step 4: Simplify right side
    45,184.38x = 806,858,527.22
  5. Step 5: Solve for x
    x = 806,858,527.22/45,184.38
  6. Step 6: Final answer
    x = 17,857.02

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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.