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Finding the Fourth Proportional to 33,785.35, 50,678.02 and 14,085.94

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Solution

The fourth proportional to 33,785.35, 50,678.02 and 14,085.94 is: 21,128.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,785.35 : 50,678.02 = 14,085.94 : x
  2. Step 2: Convert to fraction form
    33,785.35/50,678.02 = 14,085.94/x
  3. Step 3: Cross multiply
    33,785.35x = 50,678.02 × 14,085.94
  4. Step 4: Simplify right side
    33,785.35x = 713,847,549.04
  5. Step 5: Solve for x
    x = 713,847,549.04/33,785.35
  6. Step 6: Final answer
    x = 21,128.91

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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.