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Finding the Fourth Proportional to 30,950.34, 46,396.85 and 11,223.60

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Solution

The fourth proportional to 30,950.34, 46,396.85 and 11,223.60 is: 16,825.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.34 : 46,396.85 = 11,223.60 : x
  2. Step 2: Convert to fraction form
    30,950.34/46,396.85 = 11,223.60/x
  3. Step 3: Cross multiply
    30,950.34x = 46,396.85 × 11,223.60
  4. Step 4: Simplify right side
    30,950.34x = 520,739,629.54
  5. Step 5: Solve for x
    x = 520,739,629.54/30,950.34
  6. Step 6: Final answer
    x = 16,825.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.