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Finding the Fourth Proportional to 33,864.85, 50,802 and 14,138.92

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Solution

The fourth proportional to 33,864.85, 50,802 and 14,138.92 is: 21,210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,864.85 : 50,802 = 14,138.92 : x
  2. Step 2: Convert to fraction form
    33,864.85/50,802 = 14,138.92/x
  3. Step 3: Cross multiply
    33,864.85x = 50,802 × 14,138.92
  4. Step 4: Simplify right side
    33,864.85x = 718,285,413.84
  5. Step 5: Solve for x
    x = 718,285,413.84/33,864.85
  6. Step 6: Final answer
    x = 21,210.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.