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Finding the Fourth Proportional to 53,354.56, 79,967.91 and 24,853.09

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Solution

The fourth proportional to 53,354.56, 79,967.91 and 24,853.09 is: 37,249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,354.56 : 79,967.91 = 24,853.09 : x
  2. Step 2: Convert to fraction form
    53,354.56/79,967.91 = 24,853.09/x
  3. Step 3: Cross multiply
    53,354.56x = 79,967.91 × 24,853.09
  4. Step 4: Simplify right side
    53,354.56x = 1,987,449,664.34
  5. Step 5: Solve for x
    x = 1,987,449,664.34/53,354.56
  6. Step 6: Final answer
    x = 37,249.86

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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.