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Finding the Fourth Proportional to 33,831.47, 46,684.53 and 18,724.16

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Solution

The fourth proportional to 33,831.47, 46,684.53 and 18,724.16 is: 25,837.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,831.47 : 46,684.53 = 18,724.16 : x
  2. Step 2: Convert to fraction form
    33,831.47/46,684.53 = 18,724.16/x
  3. Step 3: Cross multiply
    33,831.47x = 46,684.53 × 18,724.16
  4. Step 4: Simplify right side
    33,831.47x = 874,128,375.82
  5. Step 5: Solve for x
    x = 874,128,375.82/33,831.47
  6. Step 6: Final answer
    x = 25,837.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.