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Finding the Fourth Proportional to 30,831.32, 46,268.76 and 27,857

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Solution

The fourth proportional to 30,831.32, 46,268.76 and 27,857 is: 41,805.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.32 : 46,268.76 = 27,857 : x
  2. Step 2: Convert to fraction form
    30,831.32/46,268.76 = 27,857/x
  3. Step 3: Cross multiply
    30,831.32x = 46,268.76 × 27,857
  4. Step 4: Simplify right side
    30,831.32x = 1,288,908,847.32
  5. Step 5: Solve for x
    x = 1,288,908,847.32/30,831.32
  6. Step 6: Final answer
    x = 41,805.18

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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.