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Finding the Fourth Proportional to 45,180.72, 67,767.30 and 14,013

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Solution

The fourth proportional to 45,180.72, 67,767.30 and 14,013 is: 21,018.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,180.72 : 67,767.30 = 14,013 : x
  2. Step 2: Convert to fraction form
    45,180.72/67,767.30 = 14,013/x
  3. Step 3: Cross multiply
    45,180.72x = 67,767.30 × 14,013
  4. Step 4: Simplify right side
    45,180.72x = 949,623,174.90
  5. Step 5: Solve for x
    x = 949,623,174.90/45,180.72
  6. Step 6: Final answer
    x = 21,018.33

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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.