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Finding the Fourth Proportional to 54,136.90, 81,199.80 and 14,698

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Solution

The fourth proportional to 54,136.90, 81,199.80 and 14,698 is: 22,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,136.90 : 81,199.80 = 14,698 : x
  2. Step 2: Convert to fraction form
    54,136.90/81,199.80 = 14,698/x
  3. Step 3: Cross multiply
    54,136.90x = 81,199.80 × 14,698
  4. Step 4: Simplify right side
    54,136.90x = 1,193,474,660.40
  5. Step 5: Solve for x
    x = 1,193,474,660.40/54,136.90
  6. Step 6: Final answer
    x = 22,045.49

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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.