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Finding the Fourth Proportional to 61,413.82, 92,042.96 and 29,831.11

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Solution

The fourth proportional to 61,413.82, 92,042.96 and 29,831.11 is: 44,708.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,413.82 : 92,042.96 = 29,831.11 : x
  2. Step 2: Convert to fraction form
    61,413.82/92,042.96 = 29,831.11/x
  3. Step 3: Cross multiply
    61,413.82x = 92,042.96 × 29,831.11
  4. Step 4: Simplify right side
    61,413.82x = 2,745,743,285.22
  5. Step 5: Solve for x
    x = 2,745,743,285.22/61,413.82
  6. Step 6: Final answer
    x = 44,708.88

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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.