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Finding the Fourth Proportional to 39,784.50, 54,902.61 and 21,880.67

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Solution

The fourth proportional to 39,784.50, 54,902.61 and 21,880.67 is: 30,195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,784.50 : 54,902.61 = 21,880.67 : x
  2. Step 2: Convert to fraction form
    39,784.50/54,902.61 = 21,880.67/x
  3. Step 3: Cross multiply
    39,784.50x = 54,902.61 × 21,880.67
  4. Step 4: Simplify right side
    39,784.50x = 1,201,305,617.04
  5. Step 5: Solve for x
    x = 1,201,305,617.04/39,784.50
  6. Step 6: Final answer
    x = 30,195.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.