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Finding the Fourth Proportional to 33,086.34, 49,637.67 and 9,712.78

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Solution

The fourth proportional to 33,086.34, 49,637.67 and 9,712.78 is: 14,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,086.34 : 49,637.67 = 9,712.78 : x
  2. Step 2: Convert to fraction form
    33,086.34/49,637.67 = 9,712.78/x
  3. Step 3: Cross multiply
    33,086.34x = 49,637.67 × 9,712.78
  4. Step 4: Simplify right side
    33,086.34x = 482,119,768.42
  5. Step 5: Solve for x
    x = 482,119,768.42/33,086.34
  6. Step 6: Final answer
    x = 14,571.57

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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.