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Finding the Fourth Proportional to 33,202.95, 49,811.72 and 9,831.21

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Solution

The fourth proportional to 33,202.95, 49,811.72 and 9,831.21 is: 14,748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,202.95 : 49,811.72 = 9,831.21 : x
  2. Step 2: Convert to fraction form
    33,202.95/49,811.72 = 9,831.21/x
  3. Step 3: Cross multiply
    33,202.95x = 49,811.72 × 9,831.21
  4. Step 4: Simplify right side
    33,202.95x = 489,709,430.63
  5. Step 5: Solve for x
    x = 489,709,430.63/33,202.95
  6. Step 6: Final answer
    x = 14,748.97

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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.