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Finding the Fourth Proportional to 33,262.47, 49,894.43 and 8,302.23

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Solution

The fourth proportional to 33,262.47, 49,894.43 and 8,302.23 is: 12,453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,262.47 : 49,894.43 = 8,302.23 : x
  2. Step 2: Convert to fraction form
    33,262.47/49,894.43 = 8,302.23/x
  3. Step 3: Cross multiply
    33,262.47x = 49,894.43 × 8,302.23
  4. Step 4: Simplify right side
    33,262.47x = 414,234,992.07
  5. Step 5: Solve for x
    x = 414,234,992.07/33,262.47
  6. Step 6: Final answer
    x = 12,453.52

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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.