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Finding the Fourth Proportional to 60,413.92, 83,365 and 35,278

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Solution

The fourth proportional to 60,413.92, 83,365 and 35,278 is: 48,680.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,413.92 : 83,365 = 35,278 : x
  2. Step 2: Convert to fraction form
    60,413.92/83,365 = 35,278/x
  3. Step 3: Cross multiply
    60,413.92x = 83,365 × 35,278
  4. Step 4: Simplify right side
    60,413.92x = 2,940,950,470
  5. Step 5: Solve for x
    x = 2,940,950,470/60,413.92
  6. Step 6: Final answer
    x = 48,680.01

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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.