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Finding the Fourth Proportional to 57,609.53, 86,413.89 and 16,056.53

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Solution

The fourth proportional to 57,609.53, 86,413.89 and 16,056.53 is: 24,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,609.53 : 86,413.89 = 16,056.53 : x
  2. Step 2: Convert to fraction form
    57,609.53/86,413.89 = 16,056.53/x
  3. Step 3: Cross multiply
    57,609.53x = 86,413.89 × 16,056.53
  4. Step 4: Simplify right side
    57,609.53x = 1,387,507,217.20
  5. Step 5: Solve for x
    x = 1,387,507,217.20/57,609.53
  6. Step 6: Final answer
    x = 24,084.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.