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Finding the Fourth Proportional to 33,831.52, 50,754.78 and 10,138.12

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Solution

The fourth proportional to 33,831.52, 50,754.78 and 10,138.12 is: 15,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,831.52 : 50,754.78 = 10,138.12 : x
  2. Step 2: Convert to fraction form
    33,831.52/50,754.78 = 10,138.12/x
  3. Step 3: Cross multiply
    33,831.52x = 50,754.78 × 10,138.12
  4. Step 4: Simplify right side
    33,831.52x = 514,558,050.21
  5. Step 5: Solve for x
    x = 514,558,050.21/33,831.52
  6. Step 6: Final answer
    x = 15,209.43

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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.