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Finding the Fourth Proportional to 33,706, 50,558.82 and 8,746.03

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Solution

The fourth proportional to 33,706, 50,558.82 and 8,746.03 is: 13,119.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,706 : 50,558.82 = 8,746.03 : x
  2. Step 2: Convert to fraction form
    33,706/50,558.82 = 8,746.03/x
  3. Step 3: Cross multiply
    33,706x = 50,558.82 × 8,746.03
  4. Step 4: Simplify right side
    33,706x = 442,188,956.48
  5. Step 5: Solve for x
    x = 442,188,956.48/33,706
  6. Step 6: Final answer
    x = 13,119.00

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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.