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Finding the Fourth Proportional to 38,879.16, 53,653.32 and 22,112.16

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Solution

The fourth proportional to 38,879.16, 53,653.32 and 22,112.16 is: 30,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,879.16 : 53,653.32 = 22,112.16 : x
  2. Step 2: Convert to fraction form
    38,879.16/53,653.32 = 22,112.16/x
  3. Step 3: Cross multiply
    38,879.16x = 53,653.32 × 22,112.16
  4. Step 4: Simplify right side
    38,879.16x = 1,186,390,796.37
  5. Step 5: Solve for x
    x = 1,186,390,796.37/38,879.16
  6. Step 6: Final answer
    x = 30,514.83

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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.