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Finding the Fourth Proportional to 74,573.64, 111,857.72 and 18,413.30

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Solution

The fourth proportional to 74,573.64, 111,857.72 and 18,413.30 is: 27,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,573.64 : 111,857.72 = 18,413.30 : x
  2. Step 2: Convert to fraction form
    74,573.64/111,857.72 = 18,413.30/x
  3. Step 3: Cross multiply
    74,573.64x = 111,857.72 × 18,413.30
  4. Step 4: Simplify right side
    74,573.64x = 2,059,669,755.68
  5. Step 5: Solve for x
    x = 2,059,669,755.68/74,573.64
  6. Step 6: Final answer
    x = 27,619.27

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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.