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Finding the Fourth Proportional to 83,172.81, 124,743.73 and 27,013.49

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Solution

The fourth proportional to 83,172.81, 124,743.73 and 27,013.49 is: 40,515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,172.81 : 124,743.73 = 27,013.49 : x
  2. Step 2: Convert to fraction form
    83,172.81/124,743.73 = 27,013.49/x
  3. Step 3: Cross multiply
    83,172.81x = 124,743.73 × 27,013.49
  4. Step 4: Simplify right side
    83,172.81x = 3,369,763,502.92
  5. Step 5: Solve for x
    x = 3,369,763,502.92/83,172.81
  6. Step 6: Final answer
    x = 40,515.21

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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.