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Finding the Fourth Proportional to 57,802.88, 86,704.32 and 16,249.88

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Solution

The fourth proportional to 57,802.88, 86,704.32 and 16,249.88 is: 24,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,802.88 : 86,704.32 = 16,249.88 : x
  2. Step 2: Convert to fraction form
    57,802.88/86,704.32 = 16,249.88/x
  3. Step 3: Cross multiply
    57,802.88x = 86,704.32 × 16,249.88
  4. Step 4: Simplify right side
    57,802.88x = 1,408,934,795.48
  5. Step 5: Solve for x
    x = 1,408,934,795.48/57,802.88
  6. Step 6: Final answer
    x = 24,374.82

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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.