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Finding the Fourth Proportional to 49,083.54, 73,647.16 and 25,704.50

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Solution

The fourth proportional to 49,083.54, 73,647.16 and 25,704.50 is: 38,568.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,083.54 : 73,647.16 = 25,704.50 : x
  2. Step 2: Convert to fraction form
    49,083.54/73,647.16 = 25,704.50/x
  3. Step 3: Cross multiply
    49,083.54x = 73,647.16 × 25,704.50
  4. Step 4: Simplify right side
    49,083.54x = 1,893,063,424.22
  5. Step 5: Solve for x
    x = 1,893,063,424.22/49,083.54
  6. Step 6: Final answer
    x = 38,568.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.