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Finding the Fourth Proportional to 33,746.50, 50,592.30 and 12,674.80

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Solution

The fourth proportional to 33,746.50, 50,592.30 and 12,674.80 is: 19,001.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,746.50 : 50,592.30 = 12,674.80 : x
  2. Step 2: Convert to fraction form
    33,746.50/50,592.30 = 12,674.80/x
  3. Step 3: Cross multiply
    33,746.50x = 50,592.30 × 12,674.80
  4. Step 4: Simplify right side
    33,746.50x = 641,247,284.04
  5. Step 5: Solve for x
    x = 641,247,284.04/33,746.50
  6. Step 6: Final answer
    x = 19,001.89

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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.