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Finding the Fourth Proportional to 53,856.87, 80,785.16 and 14,413.98

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Solution

The fourth proportional to 53,856.87, 80,785.16 and 14,413.98 is: 21,620.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,856.87 : 80,785.16 = 14,413.98 : x
  2. Step 2: Convert to fraction form
    53,856.87/80,785.16 = 14,413.98/x
  3. Step 3: Cross multiply
    53,856.87x = 80,785.16 × 14,413.98
  4. Step 4: Simplify right side
    53,856.87x = 1,164,435,965.46
  5. Step 5: Solve for x
    x = 1,164,435,965.46/53,856.87
  6. Step 6: Final answer
    x = 21,620.94

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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.