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Finding the Fourth Proportional to 62,678.40, 94,039.20 and 27,643.20

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Solution

The fourth proportional to 62,678.40, 94,039.20 and 27,643.20 is: 41,474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,678.40 : 94,039.20 = 27,643.20 : x
  2. Step 2: Convert to fraction form
    62,678.40/94,039.20 = 27,643.20/x
  3. Step 3: Cross multiply
    62,678.40x = 94,039.20 × 27,643.20
  4. Step 4: Simplify right side
    62,678.40x = 2,599,544,413.44
  5. Step 5: Solve for x
    x = 2,599,544,413.44/62,678.40
  6. Step 6: Final answer
    x = 41,474.33

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Why These Related Problems?

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