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Finding the Fourth Proportional to 39,826.90, 54,960.06 and 21,678

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Solution

The fourth proportional to 39,826.90, 54,960.06 and 21,678 is: 29,915.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,826.90 : 54,960.06 = 21,678 : x
  2. Step 2: Convert to fraction form
    39,826.90/54,960.06 = 21,678/x
  3. Step 3: Cross multiply
    39,826.90x = 54,960.06 × 21,678
  4. Step 4: Simplify right side
    39,826.90x = 1,191,424,180.68
  5. Step 5: Solve for x
    x = 1,191,424,180.68/39,826.90
  6. Step 6: Final answer
    x = 29,915.06

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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.