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Finding the Fourth Proportional to 31,268.36, 46,903.08 and 7,895

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Solution

The fourth proportional to 31,268.36, 46,903.08 and 7,895 is: 11,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,268.36 : 46,903.08 = 7,895 : x
  2. Step 2: Convert to fraction form
    31,268.36/46,903.08 = 7,895/x
  3. Step 3: Cross multiply
    31,268.36x = 46,903.08 × 7,895
  4. Step 4: Simplify right side
    31,268.36x = 370,299,816.60
  5. Step 5: Solve for x
    x = 370,299,816.60/31,268.36
  6. Step 6: Final answer
    x = 11,842.64

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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.