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Finding the Fourth Proportional to 33,314.63, 49,971.94 and 8,690.63

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Solution

The fourth proportional to 33,314.63, 49,971.94 and 8,690.63 is: 13,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,314.63 : 49,971.94 = 8,690.63 : x
  2. Step 2: Convert to fraction form
    33,314.63/49,971.94 = 8,690.63/x
  3. Step 3: Cross multiply
    33,314.63x = 49,971.94 × 8,690.63
  4. Step 4: Simplify right side
    33,314.63x = 434,287,369.34
  5. Step 5: Solve for x
    x = 434,287,369.34/33,314.63
  6. Step 6: Final answer
    x = 13,035.94

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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.