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Finding the Fourth Proportional to 57,802.91, 86,704.36 and 16,249.91

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Solution

The fourth proportional to 57,802.91, 86,704.36 and 16,249.91 is: 24,374.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,802.91 : 86,704.36 = 16,249.91 : x
  2. Step 2: Convert to fraction form
    57,802.91/86,704.36 = 16,249.91/x
  3. Step 3: Cross multiply
    57,802.91x = 86,704.36 × 16,249.91
  4. Step 4: Simplify right side
    57,802.91x = 1,408,938,046.61
  5. Step 5: Solve for x
    x = 1,408,938,046.61/57,802.91
  6. Step 6: Final answer
    x = 24,374.86

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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.