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Finding the Fourth Proportional to 37,327.50, 55,992.33 and 9,625.50

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Solution

The fourth proportional to 37,327.50, 55,992.33 and 9,625.50 is: 14,438.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,327.50 : 55,992.33 = 9,625.50 : x
  2. Step 2: Convert to fraction form
    37,327.50/55,992.33 = 9,625.50/x
  3. Step 3: Cross multiply
    37,327.50x = 55,992.33 × 9,625.50
  4. Step 4: Simplify right side
    37,327.50x = 538,954,172.42
  5. Step 5: Solve for x
    x = 538,954,172.42/37,327.50
  6. Step 6: Final answer
    x = 14,438.53

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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.