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Finding the Fourth Proportional to 37,205.69, 55,734.72 and 17,424.27

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Solution

The fourth proportional to 37,205.69, 55,734.72 and 17,424.27 is: 26,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,205.69 : 55,734.72 = 17,424.27 : x
  2. Step 2: Convert to fraction form
    37,205.69/55,734.72 = 17,424.27/x
  3. Step 3: Cross multiply
    37,205.69x = 55,734.72 × 17,424.27
  4. Step 4: Simplify right side
    37,205.69x = 971,136,744.31
  5. Step 5: Solve for x
    x = 971,136,744.31/37,205.69
  6. Step 6: Final answer
    x = 26,101.84

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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.