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Finding the Fourth Proportional to 84,638.46, 116,745.53 and 54,376.05

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Solution

The fourth proportional to 84,638.46, 116,745.53 and 54,376.05 is: 75,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,638.46 : 116,745.53 = 54,376.05 : x
  2. Step 2: Convert to fraction form
    84,638.46/116,745.53 = 54,376.05/x
  3. Step 3: Cross multiply
    84,638.46x = 116,745.53 × 54,376.05
  4. Step 4: Simplify right side
    84,638.46x = 6,348,160,504.68
  5. Step 5: Solve for x
    x = 6,348,160,504.68/84,638.46
  6. Step 6: Final answer
    x = 75,003.26

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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.