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Finding the Fourth Proportional to 37,051.84, 51,131 and 21,136.24

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Solution

The fourth proportional to 37,051.84, 51,131 and 21,136.24 is: 29,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,051.84 : 51,131 = 21,136.24 : x
  2. Step 2: Convert to fraction form
    37,051.84/51,131 = 21,136.24/x
  3. Step 3: Cross multiply
    37,051.84x = 51,131 × 21,136.24
  4. Step 4: Simplify right side
    37,051.84x = 1,080,717,087.44
  5. Step 5: Solve for x
    x = 1,080,717,087.44/37,051.84
  6. Step 6: Final answer
    x = 29,167.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.