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Finding the Fourth Proportional to 30,951.09, 46,420.48 and 15,149.33

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Solution

The fourth proportional to 30,951.09, 46,420.48 and 15,149.33 is: 22,720.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,951.09 : 46,420.48 = 15,149.33 : x
  2. Step 2: Convert to fraction form
    30,951.09/46,420.48 = 15,149.33/x
  3. Step 3: Cross multiply
    30,951.09x = 46,420.48 × 15,149.33
  4. Step 4: Simplify right side
    30,951.09x = 703,239,305.27
  5. Step 5: Solve for x
    x = 703,239,305.27/30,951.09
  6. Step 6: Final answer
    x = 22,720.99

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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.