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Finding the Fourth Proportional to 33,796, 50,659.98 and 14,085.46

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Solution

The fourth proportional to 33,796, 50,659.98 and 14,085.46 is: 21,114.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,796 : 50,659.98 = 14,085.46 : x
  2. Step 2: Convert to fraction form
    33,796/50,659.98 = 14,085.46/x
  3. Step 3: Cross multiply
    33,796x = 50,659.98 × 14,085.46
  4. Step 4: Simplify right side
    33,796x = 713,569,121.89
  5. Step 5: Solve for x
    x = 713,569,121.89/33,796
  6. Step 6: Final answer
    x = 21,114.01

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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.