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Finding the Fourth Proportional to 38,590.41, 53,256.23 and 22,456.42

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Solution

The fourth proportional to 38,590.41, 53,256.23 and 22,456.42 is: 30,990.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,590.41 : 53,256.23 = 22,456.42 : x
  2. Step 2: Convert to fraction form
    38,590.41/53,256.23 = 22,456.42/x
  3. Step 3: Cross multiply
    38,590.41x = 53,256.23 × 22,456.42
  4. Step 4: Simplify right side
    38,590.41x = 1,195,944,156.21
  5. Step 5: Solve for x
    x = 1,195,944,156.21/38,590.41
  6. Step 6: Final answer
    x = 30,990.71

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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.