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Finding the Fourth Proportional to 29,795.86, 44,693.76 and 7,609.25

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Solution

The fourth proportional to 29,795.86, 44,693.76 and 7,609.25 is: 11,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,795.86 : 44,693.76 = 7,609.25 : x
  2. Step 2: Convert to fraction form
    29,795.86/44,693.76 = 7,609.25/x
  3. Step 3: Cross multiply
    29,795.86x = 44,693.76 × 7,609.25
  4. Step 4: Simplify right side
    29,795.86x = 340,085,993.28
  5. Step 5: Solve for x
    x = 340,085,993.28/29,795.86
  6. Step 6: Final answer
    x = 11,413.87

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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.