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Finding the Fourth Proportional to 96,087.28, 132,591.72 and 53,638

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Solution

The fourth proportional to 96,087.28, 132,591.72 and 53,638 is: 74,015.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,087.28 : 132,591.72 = 53,638 : x
  2. Step 2: Convert to fraction form
    96,087.28/132,591.72 = 53,638/x
  3. Step 3: Cross multiply
    96,087.28x = 132,591.72 × 53,638
  4. Step 4: Simplify right side
    96,087.28x = 7,111,954,677.36
  5. Step 5: Solve for x
    x = 7,111,954,677.36/96,087.28
  6. Step 6: Final answer
    x = 74,015.57

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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.