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Finding the Fourth Proportional to 33,011.76, 49,517.16 and 8,052

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Solution

The fourth proportional to 33,011.76, 49,517.16 and 8,052 is: 12,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,011.76 : 49,517.16 = 8,052 : x
  2. Step 2: Convert to fraction form
    33,011.76/49,517.16 = 8,052/x
  3. Step 3: Cross multiply
    33,011.76x = 49,517.16 × 8,052
  4. Step 4: Simplify right side
    33,011.76x = 398,712,172.32
  5. Step 5: Solve for x
    x = 398,712,172.32/33,011.76
  6. Step 6: Final answer
    x = 12,077.88

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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.