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Finding the Fourth Proportional to 39,586, 54,626.60 and 21,680.63

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Solution

The fourth proportional to 39,586, 54,626.60 and 21,680.63 is: 29,918.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,586 : 54,626.60 = 21,680.63 : x
  2. Step 2: Convert to fraction form
    39,586/54,626.60 = 21,680.63/x
  3. Step 3: Cross multiply
    39,586x = 54,626.60 × 21,680.63
  4. Step 4: Simplify right side
    39,586x = 1,184,338,721.22
  5. Step 5: Solve for x
    x = 1,184,338,721.22/39,586
  6. Step 6: Final answer
    x = 29,918.12

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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.