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Finding the Fourth Proportional to 74,145.82, 102,321.32 and 40,154.36

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Solution

The fourth proportional to 74,145.82, 102,321.32 and 40,154.36 is: 55,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,145.82 : 102,321.32 = 40,154.36 : x
  2. Step 2: Convert to fraction form
    74,145.82/102,321.32 = 40,154.36/x
  3. Step 3: Cross multiply
    74,145.82x = 102,321.32 × 40,154.36
  4. Step 4: Simplify right side
    74,145.82x = 4,108,647,118.96
  5. Step 5: Solve for x
    x = 4,108,647,118.96/74,145.82
  6. Step 6: Final answer
    x = 55,413.06

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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.