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Finding the Fourth Proportional to 49,705.76, 74,410.68 and 33,007.88

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Solution

The fourth proportional to 49,705.76, 74,410.68 and 33,007.88 is: 49,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,705.76 : 74,410.68 = 33,007.88 : x
  2. Step 2: Convert to fraction form
    49,705.76/74,410.68 = 33,007.88/x
  3. Step 3: Cross multiply
    49,705.76x = 74,410.68 × 33,007.88
  4. Step 4: Simplify right side
    49,705.76x = 2,456,138,796.16
  5. Step 5: Solve for x
    x = 2,456,138,796.16/49,705.76
  6. Step 6: Final answer
    x = 49,413.56

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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.