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Finding the Fourth Proportional to 54,757.74, 82,136.69 and 13,204.74

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Solution

The fourth proportional to 54,757.74, 82,136.69 and 13,204.74 is: 19,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,757.74 : 82,136.69 = 13,204.74 : x
  2. Step 2: Convert to fraction form
    54,757.74/82,136.69 = 13,204.74/x
  3. Step 3: Cross multiply
    54,757.74x = 82,136.69 × 13,204.74
  4. Step 4: Simplify right side
    54,757.74x = 1,084,593,569.89
  5. Step 5: Solve for x
    x = 1,084,593,569.89/54,757.74
  6. Step 6: Final answer
    x = 19,807.13

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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.