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Finding the Fourth Proportional to 33,302.75, 49,952.98 and 8,343.02

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Solution

The fourth proportional to 33,302.75, 49,952.98 and 8,343.02 is: 12,514.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,302.75 : 49,952.98 = 8,343.02 : x
  2. Step 2: Convert to fraction form
    33,302.75/49,952.98 = 8,343.02/x
  3. Step 3: Cross multiply
    33,302.75x = 49,952.98 × 8,343.02
  4. Step 4: Simplify right side
    33,302.75x = 416,758,440.58
  5. Step 5: Solve for x
    x = 416,758,440.58/33,302.75
  6. Step 6: Final answer
    x = 12,514.23

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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.