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Finding the Fourth Proportional to 53,481.94, 73,806 and 29,284.90

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Solution

The fourth proportional to 53,481.94, 73,806 and 29,284.90 is: 40,413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,481.94 : 73,806 = 29,284.90 : x
  2. Step 2: Convert to fraction form
    53,481.94/73,806 = 29,284.90/x
  3. Step 3: Cross multiply
    53,481.94x = 73,806 × 29,284.90
  4. Step 4: Simplify right side
    53,481.94x = 2,161,401,329.40
  5. Step 5: Solve for x
    x = 2,161,401,329.40/53,481.94
  6. Step 6: Final answer
    x = 40,413.67

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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.