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Finding the Fourth Proportional to 30,993.69, 46,493.25 and 8,807.25

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Solution

The fourth proportional to 30,993.69, 46,493.25 and 8,807.25 is: 13,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,993.69 : 46,493.25 = 8,807.25 : x
  2. Step 2: Convert to fraction form
    30,993.69/46,493.25 = 8,807.25/x
  3. Step 3: Cross multiply
    30,993.69x = 46,493.25 × 8,807.25
  4. Step 4: Simplify right side
    30,993.69x = 409,477,676.06
  5. Step 5: Solve for x
    x = 409,477,676.06/30,993.69
  6. Step 6: Final answer
    x = 13,211.65

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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.