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Finding the Fourth Proportional to 46,993.67, 70,473.15 and 20,343.54

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Solution

The fourth proportional to 46,993.67, 70,473.15 and 20,343.54 is: 30,507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,993.67 : 70,473.15 = 20,343.54 : x
  2. Step 2: Convert to fraction form
    46,993.67/70,473.15 = 20,343.54/x
  3. Step 3: Cross multiply
    46,993.67x = 70,473.15 × 20,343.54
  4. Step 4: Simplify right side
    46,993.67x = 1,433,673,295.09
  5. Step 5: Solve for x
    x = 1,433,673,295.09/46,993.67
  6. Step 6: Final answer
    x = 30,507.80

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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.