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Finding the Fourth Proportional to 57,603.42, 86,413.77 and 16,053.66

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Solution

The fourth proportional to 57,603.42, 86,413.77 and 16,053.66 is: 24,082.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,603.42 : 86,413.77 = 16,053.66 : x
  2. Step 2: Convert to fraction form
    57,603.42/86,413.77 = 16,053.66/x
  3. Step 3: Cross multiply
    57,603.42x = 86,413.77 × 16,053.66
  4. Step 4: Simplify right side
    57,603.42x = 1,387,257,282.90
  5. Step 5: Solve for x
    x = 1,387,257,282.90/57,603.42
  6. Step 6: Final answer
    x = 24,082.90

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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.