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Finding the Fourth Proportional to 57,575, 86,325.38 and 24,286.16

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Solution

The fourth proportional to 57,575, 86,325.38 and 24,286.16 is: 36,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,575 : 86,325.38 = 24,286.16 : x
  2. Step 2: Convert to fraction form
    57,575/86,325.38 = 24,286.16/x
  3. Step 3: Cross multiply
    57,575x = 86,325.38 × 24,286.16
  4. Step 4: Simplify right side
    57,575x = 2,096,511,990.74
  5. Step 5: Solve for x
    x = 2,096,511,990.74/57,575
  6. Step 6: Final answer
    x = 36,413.58

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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.