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Finding the Fourth Proportional to 30,872.82, 46,085.71 and 27,136.18

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Solution

The fourth proportional to 30,872.82, 46,085.71 and 27,136.18 is: 40,507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,872.82 : 46,085.71 = 27,136.18 : x
  2. Step 2: Convert to fraction form
    30,872.82/46,085.71 = 27,136.18/x
  3. Step 3: Cross multiply
    30,872.82x = 46,085.71 × 27,136.18
  4. Step 4: Simplify right side
    30,872.82x = 1,250,589,986.31
  5. Step 5: Solve for x
    x = 1,250,589,986.31/30,872.82
  6. Step 6: Final answer
    x = 40,507.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.