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Finding the Fourth Proportional to 34,136.94, 51,170.23 and 13,071.23

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Solution

The fourth proportional to 34,136.94, 51,170.23 and 13,071.23 is: 19,593.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,136.94 : 51,170.23 = 13,071.23 : x
  2. Step 2: Convert to fraction form
    34,136.94/51,170.23 = 13,071.23/x
  3. Step 3: Cross multiply
    34,136.94x = 51,170.23 × 13,071.23
  4. Step 4: Simplify right side
    34,136.94x = 668,857,524.28
  5. Step 5: Solve for x
    x = 668,857,524.28/34,136.94
  6. Step 6: Final answer
    x = 19,593.36

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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.