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Finding the Fourth Proportional to 50,412.98, 75,582.36 and 17,124.09

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Solution

The fourth proportional to 50,412.98, 75,582.36 and 17,124.09 is: 25,673.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,412.98 : 75,582.36 = 17,124.09 : x
  2. Step 2: Convert to fraction form
    50,412.98/75,582.36 = 17,124.09/x
  3. Step 3: Cross multiply
    50,412.98x = 75,582.36 × 17,124.09
  4. Step 4: Simplify right side
    50,412.98x = 1,294,279,135.05
  5. Step 5: Solve for x
    x = 1,294,279,135.05/50,412.98
  6. Step 6: Final answer
    x = 25,673.53

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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.