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Finding the Fourth Proportional to 57,802.26, 86,703.38 and 16,249.26

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Solution

The fourth proportional to 57,802.26, 86,703.38 and 16,249.26 is: 24,373.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,802.26 : 86,703.38 = 16,249.26 : x
  2. Step 2: Convert to fraction form
    57,802.26/86,703.38 = 16,249.26/x
  3. Step 3: Cross multiply
    57,802.26x = 86,703.38 × 16,249.26
  4. Step 4: Simplify right side
    57,802.26x = 1,408,865,764.50
  5. Step 5: Solve for x
    x = 1,408,865,764.50/57,802.26
  6. Step 6: Final answer
    x = 24,373.89

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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.