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Finding the Fourth Proportional to 33,972.90, 50,980.08 and 21,475.71

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Solution

The fourth proportional to 33,972.90, 50,980.08 and 21,475.71 is: 32,226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,972.90 : 50,980.08 = 21,475.71 : x
  2. Step 2: Convert to fraction form
    33,972.90/50,980.08 = 21,475.71/x
  3. Step 3: Cross multiply
    33,972.90x = 50,980.08 × 21,475.71
  4. Step 4: Simplify right side
    33,972.90x = 1,094,833,413.86
  5. Step 5: Solve for x
    x = 1,094,833,413.86/33,972.90
  6. Step 6: Final answer
    x = 32,226.67

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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.