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Finding the Fourth Proportional to 77,149.50, 115,724.25 and 21,745.50

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Solution

The fourth proportional to 77,149.50, 115,724.25 and 21,745.50 is: 32,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,149.50 : 115,724.25 = 21,745.50 : x
  2. Step 2: Convert to fraction form
    77,149.50/115,724.25 = 21,745.50/x
  3. Step 3: Cross multiply
    77,149.50x = 115,724.25 × 21,745.50
  4. Step 4: Simplify right side
    77,149.50x = 2,516,481,678.38
  5. Step 5: Solve for x
    x = 2,516,481,678.38/77,149.50
  6. Step 6: Final answer
    x = 32,618.25

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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.