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Finding the Fourth Proportional to 38,491.27, 53,106.35 and 22,355.47

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Solution

The fourth proportional to 38,491.27, 53,106.35 and 22,355.47 is: 30,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,491.27 : 53,106.35 = 22,355.47 : x
  2. Step 2: Convert to fraction form
    38,491.27/53,106.35 = 22,355.47/x
  3. Step 3: Cross multiply
    38,491.27x = 53,106.35 × 22,355.47
  4. Step 4: Simplify right side
    38,491.27x = 1,187,217,414.23
  5. Step 5: Solve for x
    x = 1,187,217,414.23/38,491.27
  6. Step 6: Final answer
    x = 30,843.81

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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.