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Finding the Fourth Proportional to 30,878.28, 46,317.42 and 7,504.56

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Solution

The fourth proportional to 30,878.28, 46,317.42 and 7,504.56 is: 11,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.28 : 46,317.42 = 7,504.56 : x
  2. Step 2: Convert to fraction form
    30,878.28/46,317.42 = 7,504.56/x
  3. Step 3: Cross multiply
    30,878.28x = 46,317.42 × 7,504.56
  4. Step 4: Simplify right side
    30,878.28x = 347,591,857.44
  5. Step 5: Solve for x
    x = 347,591,857.44/30,878.28
  6. Step 6: Final answer
    x = 11,256.84

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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.