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Finding the Fourth Proportional to 38,491.20, 53,114.24 and 22,572.72

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Solution

The fourth proportional to 38,491.20, 53,114.24 and 22,572.72 is: 31,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,491.20 : 53,114.24 = 22,572.72 : x
  2. Step 2: Convert to fraction form
    38,491.20/53,114.24 = 22,572.72/x
  3. Step 3: Cross multiply
    38,491.20x = 53,114.24 × 22,572.72
  4. Step 4: Simplify right side
    38,491.20x = 1,198,932,867.53
  5. Step 5: Solve for x
    x = 1,198,932,867.53/38,491.20
  6. Step 6: Final answer
    x = 31,148.23

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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.