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Finding the Fourth Proportional to 30,879.16, 46,318.60 and 7,505.64

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Solution

The fourth proportional to 30,879.16, 46,318.60 and 7,505.64 is: 11,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,879.16 : 46,318.60 = 7,505.64 : x
  2. Step 2: Convert to fraction form
    30,879.16/46,318.60 = 7,505.64/x
  3. Step 3: Cross multiply
    30,879.16x = 46,318.60 × 7,505.64
  4. Step 4: Simplify right side
    30,879.16x = 347,650,736.90
  5. Step 5: Solve for x
    x = 347,650,736.90/30,879.16
  6. Step 6: Final answer
    x = 11,258.43

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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.