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Finding the Fourth Proportional to 33,208.42, 49,795.35 and 9,831.70

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Solution

The fourth proportional to 33,208.42, 49,795.35 and 9,831.70 is: 14,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,208.42 : 49,795.35 = 9,831.70 : x
  2. Step 2: Convert to fraction form
    33,208.42/49,795.35 = 9,831.70/x
  3. Step 3: Cross multiply
    33,208.42x = 49,795.35 × 9,831.70
  4. Step 4: Simplify right side
    33,208.42x = 489,572,942.60
  5. Step 5: Solve for x
    x = 489,572,942.60/33,208.42
  6. Step 6: Final answer
    x = 14,742.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.