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Finding the Fourth Proportional to 89,577.83, 134,362.31 and 33,413.56

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Solution

The fourth proportional to 89,577.83, 134,362.31 and 33,413.56 is: 50,118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,577.83 : 134,362.31 = 33,413.56 : x
  2. Step 2: Convert to fraction form
    89,577.83/134,362.31 = 33,413.56/x
  3. Step 3: Cross multiply
    89,577.83x = 134,362.31 × 33,413.56
  4. Step 4: Simplify right side
    89,577.83x = 4,489,523,547.69
  5. Step 5: Solve for x
    x = 4,489,523,547.69/89,577.83
  6. Step 6: Final answer
    x = 50,118.69

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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.