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Finding the Fourth Proportional to 57,514.56, 86,282.73 and 22,452

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Solution

The fourth proportional to 57,514.56, 86,282.73 and 22,452 is: 33,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,514.56 : 86,282.73 = 22,452 : x
  2. Step 2: Convert to fraction form
    57,514.56/86,282.73 = 22,452/x
  3. Step 3: Cross multiply
    57,514.56x = 86,282.73 × 22,452
  4. Step 4: Simplify right side
    57,514.56x = 1,937,219,853.96
  5. Step 5: Solve for x
    x = 1,937,219,853.96/57,514.56
  6. Step 6: Final answer
    x = 33,682.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.