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Finding the Fourth Proportional to 30,845.64, 46,268.30 and 7,472.08

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Solution

The fourth proportional to 30,845.64, 46,268.30 and 7,472.08 is: 11,208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,845.64 : 46,268.30 = 7,472.08 : x
  2. Step 2: Convert to fraction form
    30,845.64/46,268.30 = 7,472.08/x
  3. Step 3: Cross multiply
    30,845.64x = 46,268.30 × 7,472.08
  4. Step 4: Simplify right side
    30,845.64x = 345,720,439.06
  5. Step 5: Solve for x
    x = 345,720,439.06/30,845.64
  6. Step 6: Final answer
    x = 11,208.08

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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.