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Finding the Fourth Proportional to 30,278.52, 45,406.26 and 13,851

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Solution

The fourth proportional to 30,278.52, 45,406.26 and 13,851 is: 20,771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,278.52 : 45,406.26 = 13,851 : x
  2. Step 2: Convert to fraction form
    30,278.52/45,406.26 = 13,851/x
  3. Step 3: Cross multiply
    30,278.52x = 45,406.26 × 13,851
  4. Step 4: Simplify right side
    30,278.52x = 628,922,107.26
  5. Step 5: Solve for x
    x = 628,922,107.26/30,278.52
  6. Step 6: Final answer
    x = 20,771.23

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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.