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Finding the Fourth Proportional to 30,928.83, 46,393.50 and 8,741.71

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Solution

The fourth proportional to 30,928.83, 46,393.50 and 8,741.71 is: 13,112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,928.83 : 46,393.50 = 8,741.71 : x
  2. Step 2: Convert to fraction form
    30,928.83/46,393.50 = 8,741.71/x
  3. Step 3: Cross multiply
    30,928.83x = 46,393.50 × 8,741.71
  4. Step 4: Simplify right side
    30,928.83x = 405,558,247.21
  5. Step 5: Solve for x
    x = 405,558,247.21/30,928.83
  6. Step 6: Final answer
    x = 13,112.63

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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.