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Finding the Fourth Proportional to 30,862.44, 46,284.12 and 11,138.49

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Solution

The fourth proportional to 30,862.44, 46,284.12 and 11,138.49 is: 16,704.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,862.44 : 46,284.12 = 11,138.49 : x
  2. Step 2: Convert to fraction form
    30,862.44/46,284.12 = 11,138.49/x
  3. Step 3: Cross multiply
    30,862.44x = 46,284.12 × 11,138.49
  4. Step 4: Simplify right side
    30,862.44x = 515,535,207.78
  5. Step 5: Solve for x
    x = 515,535,207.78/30,862.44
  6. Step 6: Final answer
    x = 16,704.29

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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.