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Finding the Fourth Proportional to 33,303.50, 49,954.10 and 8,343.77

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Solution

The fourth proportional to 33,303.50, 49,954.10 and 8,343.77 is: 12,515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,303.50 : 49,954.10 = 8,343.77 : x
  2. Step 2: Convert to fraction form
    33,303.50/49,954.10 = 8,343.77/x
  3. Step 3: Cross multiply
    33,303.50x = 49,954.10 × 8,343.77
  4. Step 4: Simplify right side
    33,303.50x = 416,805,292.05
  5. Step 5: Solve for x
    x = 416,805,292.05/33,303.50
  6. Step 6: Final answer
    x = 12,515.36

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1.5x scale

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.