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Finding the Fourth Proportional to 45,491.71, 68,185.80 and 27,683.09

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Solution

The fourth proportional to 45,491.71, 68,185.80 and 27,683.09 is: 41,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,491.71 : 68,185.80 = 27,683.09 : x
  2. Step 2: Convert to fraction form
    45,491.71/68,185.80 = 27,683.09/x
  3. Step 3: Cross multiply
    45,491.71x = 68,185.80 × 27,683.09
  4. Step 4: Simplify right side
    45,491.71x = 1,887,593,744.66
  5. Step 5: Solve for x
    x = 1,887,593,744.66/45,491.71
  6. Step 6: Final answer
    x = 41,493.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.