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Finding the Fourth Proportional to 30,991.75, 46,656.25 and 28,236.13

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Solution

The fourth proportional to 30,991.75, 46,656.25 and 28,236.13 is: 42,507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991.75 : 46,656.25 = 28,236.13 : x
  2. Step 2: Convert to fraction form
    30,991.75/46,656.25 = 28,236.13/x
  3. Step 3: Cross multiply
    30,991.75x = 46,656.25 × 28,236.13
  4. Step 4: Simplify right side
    30,991.75x = 1,317,391,940.31
  5. Step 5: Solve for x
    x = 1,317,391,940.31/30,991.75
  6. Step 6: Final answer
    x = 42,507.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.