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Finding the Fourth Proportional to 50,161.96, 75,249.66 and 15,097

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Solution

The fourth proportional to 50,161.96, 75,249.66 and 15,097 is: 22,647.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,161.96 : 75,249.66 = 15,097 : x
  2. Step 2: Convert to fraction form
    50,161.96/75,249.66 = 15,097/x
  3. Step 3: Cross multiply
    50,161.96x = 75,249.66 × 15,097
  4. Step 4: Simplify right side
    50,161.96x = 1,136,044,117.02
  5. Step 5: Solve for x
    x = 1,136,044,117.02/50,161.96
  6. Step 6: Final answer
    x = 22,647.52

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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.