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Finding the Fourth Proportional to 30,771.80, 46,117.60 and 13,892.26

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Solution

The fourth proportional to 30,771.80, 46,117.60 and 13,892.26 is: 20,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.80 : 46,117.60 = 13,892.26 : x
  2. Step 2: Convert to fraction form
    30,771.80/46,117.60 = 13,892.26/x
  3. Step 3: Cross multiply
    30,771.80x = 46,117.60 × 13,892.26
  4. Step 4: Simplify right side
    30,771.80x = 640,677,704.37
  5. Step 5: Solve for x
    x = 640,677,704.37/30,771.80
  6. Step 6: Final answer
    x = 20,820.29

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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.