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Finding the Fourth Proportional to 38,514.72, 53,147.94 and 22,379.52

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Solution

The fourth proportional to 38,514.72, 53,147.94 and 22,379.52 is: 30,882.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,514.72 : 53,147.94 = 22,379.52 : x
  2. Step 2: Convert to fraction form
    38,514.72/53,147.94 = 22,379.52/x
  3. Step 3: Cross multiply
    38,514.72x = 53,147.94 × 22,379.52
  4. Step 4: Simplify right side
    38,514.72x = 1,189,425,386.19
  5. Step 5: Solve for x
    x = 1,189,425,386.19/38,514.72
  6. Step 6: Final answer
    x = 30,882.36

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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.