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Finding the Fourth Proportional to 50,102.98, 75,136.73 and 14,556.90

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Solution

The fourth proportional to 50,102.98, 75,136.73 and 14,556.90 is: 21,830.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,102.98 : 75,136.73 = 14,556.90 : x
  2. Step 2: Convert to fraction form
    50,102.98/75,136.73 = 14,556.90/x
  3. Step 3: Cross multiply
    50,102.98x = 75,136.73 × 14,556.90
  4. Step 4: Simplify right side
    50,102.98x = 1,093,757,416.47
  5. Step 5: Solve for x
    x = 1,093,757,416.47/50,102.98
  6. Step 6: Final answer
    x = 21,830.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.