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Finding the Fourth Proportional to 30,773.06, 46,119.50 and 13,893.53

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Solution

The fourth proportional to 30,773.06, 46,119.50 and 13,893.53 is: 20,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,773.06 : 46,119.50 = 13,893.53 : x
  2. Step 2: Convert to fraction form
    30,773.06/46,119.50 = 13,893.53/x
  3. Step 3: Cross multiply
    30,773.06x = 46,119.50 × 13,893.53
  4. Step 4: Simplify right side
    30,773.06x = 640,762,447.95
  5. Step 5: Solve for x
    x = 640,762,447.95/30,773.06
  6. Step 6: Final answer
    x = 20,822.19

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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.