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Finding the Fourth Proportional to 33,205.16, 49,807.92 and 9,831.80

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Solution

The fourth proportional to 33,205.16, 49,807.92 and 9,831.80 is: 14,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,205.16 : 49,807.92 = 9,831.80 : x
  2. Step 2: Convert to fraction form
    33,205.16/49,807.92 = 9,831.80/x
  3. Step 3: Cross multiply
    33,205.16x = 49,807.92 × 9,831.80
  4. Step 4: Simplify right side
    33,205.16x = 489,701,507.86
  5. Step 5: Solve for x
    x = 489,701,507.86/33,205.16
  6. Step 6: Final answer
    x = 14,747.75

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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.