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Finding the Fourth Proportional to 23,123.81, 31,976.47 and 22,079.52

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Solution

The fourth proportional to 23,123.81, 31,976.47 and 22,079.52 is: 30,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,123.81 : 31,976.47 = 22,079.52 : x
  2. Step 2: Convert to fraction form
    23,123.81/31,976.47 = 22,079.52/x
  3. Step 3: Cross multiply
    23,123.81x = 31,976.47 × 22,079.52
  4. Step 4: Simplify right side
    23,123.81x = 706,025,136.49
  5. Step 5: Solve for x
    x = 706,025,136.49/23,123.81
  6. Step 6: Final answer
    x = 30,532.38

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Why These Related Problems?

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