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Finding the Fourth Proportional to 45,348.80, 68,013.48 and 14,180

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Solution

The fourth proportional to 45,348.80, 68,013.48 and 14,180 is: 21,266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,348.80 : 68,013.48 = 14,180 : x
  2. Step 2: Convert to fraction form
    45,348.80/68,013.48 = 14,180/x
  3. Step 3: Cross multiply
    45,348.80x = 68,013.48 × 14,180
  4. Step 4: Simplify right side
    45,348.80x = 964,431,146.40
  5. Step 5: Solve for x
    x = 964,431,146.40/45,348.80
  6. Step 6: Final answer
    x = 21,266.96

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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.