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Finding the Fourth Proportional to 37,683.14, 51,992.07 and 24,262.16

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Solution

The fourth proportional to 37,683.14, 51,992.07 and 24,262.16 is: 33,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,683.14 : 51,992.07 = 24,262.16 : x
  2. Step 2: Convert to fraction form
    37,683.14/51,992.07 = 24,262.16/x
  3. Step 3: Cross multiply
    37,683.14x = 51,992.07 × 24,262.16
  4. Step 4: Simplify right side
    37,683.14x = 1,261,439,921.07
  5. Step 5: Solve for x
    x = 1,261,439,921.07/37,683.14
  6. Step 6: Final answer
    x = 33,474.92

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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.