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Finding the Fourth Proportional to 45,102.62, 67,716.50 and 28,413.38

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Solution

The fourth proportional to 45,102.62, 67,716.50 and 28,413.38 is: 42,659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,102.62 : 67,716.50 = 28,413.38 : x
  2. Step 2: Convert to fraction form
    45,102.62/67,716.50 = 28,413.38/x
  3. Step 3: Cross multiply
    45,102.62x = 67,716.50 × 28,413.38
  4. Step 4: Simplify right side
    45,102.62x = 1,924,054,166.12
  5. Step 5: Solve for x
    x = 1,924,054,166.12/45,102.62
  6. Step 6: Final answer
    x = 42,659.48

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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.