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Finding the Fourth Proportional to 30,146.74, 41,514.78 and 28,221.31

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Solution

The fourth proportional to 30,146.74, 41,514.78 and 28,221.31 is: 38,863.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,146.74 : 41,514.78 = 28,221.31 : x
  2. Step 2: Convert to fraction form
    30,146.74/41,514.78 = 28,221.31/x
  3. Step 3: Cross multiply
    30,146.74x = 41,514.78 × 28,221.31
  4. Step 4: Simplify right side
    30,146.74x = 1,171,601,475.96
  5. Step 5: Solve for x
    x = 1,171,601,475.96/30,146.74
  6. Step 6: Final answer
    x = 38,863.29

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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.