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Finding the Fourth Proportional to 30,171.38, 45,257.09 and 12,641.22

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Solution

The fourth proportional to 30,171.38, 45,257.09 and 12,641.22 is: 18,961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,171.38 : 45,257.09 = 12,641.22 : x
  2. Step 2: Convert to fraction form
    30,171.38/45,257.09 = 12,641.22/x
  3. Step 3: Cross multiply
    30,171.38x = 45,257.09 × 12,641.22
  4. Step 4: Simplify right side
    30,171.38x = 572,104,768.04
  5. Step 5: Solve for x
    x = 572,104,768.04/30,171.38
  6. Step 6: Final answer
    x = 18,961.84

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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.