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Finding the Fourth Proportional to 57,682.80, 86,451.30 and 51,413.40

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Solution

The fourth proportional to 57,682.80, 86,451.30 and 51,413.40 is: 77,055.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,682.80 : 86,451.30 = 51,413.40 : x
  2. Step 2: Convert to fraction form
    57,682.80/86,451.30 = 51,413.40/x
  3. Step 3: Cross multiply
    57,682.80x = 86,451.30 × 51,413.40
  4. Step 4: Simplify right side
    57,682.80x = 4,444,755,267.42
  5. Step 5: Solve for x
    x = 4,444,755,267.42/57,682.80
  6. Step 6: Final answer
    x = 77,055.12

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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.