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Finding the Fourth Proportional to 37,825.14, 52,086 and 36,985.94

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Solution

The fourth proportional to 37,825.14, 52,086 and 36,985.94 is: 50,930.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,825.14 : 52,086 = 36,985.94 : x
  2. Step 2: Convert to fraction form
    37,825.14/52,086 = 36,985.94/x
  3. Step 3: Cross multiply
    37,825.14x = 52,086 × 36,985.94
  4. Step 4: Simplify right side
    37,825.14x = 1,926,449,670.84
  5. Step 5: Solve for x
    x = 1,926,449,670.84/37,825.14
  6. Step 6: Final answer
    x = 50,930.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.