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Finding the Fourth Proportional to 66,965.92, 92,413.14 and 36,751.48

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Solution

The fourth proportional to 66,965.92, 92,413.14 and 36,751.48 is: 50,717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,965.92 : 92,413.14 = 36,751.48 : x
  2. Step 2: Convert to fraction form
    66,965.92/92,413.14 = 36,751.48/x
  3. Step 3: Cross multiply
    66,965.92x = 92,413.14 × 36,751.48
  4. Step 4: Simplify right side
    66,965.92x = 3,396,319,666.45
  5. Step 5: Solve for x
    x = 3,396,319,666.45/66,965.92
  6. Step 6: Final answer
    x = 50,717.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.