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Finding the Fourth Proportional to 29,831.86, 41,168 and 16,403.34

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Solution

The fourth proportional to 29,831.86, 41,168 and 16,403.34 is: 22,636.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,831.86 : 41,168 = 16,403.34 : x
  2. Step 2: Convert to fraction form
    29,831.86/41,168 = 16,403.34/x
  3. Step 3: Cross multiply
    29,831.86x = 41,168 × 16,403.34
  4. Step 4: Simplify right side
    29,831.86x = 675,292,701.12
  5. Step 5: Solve for x
    x = 675,292,701.12/29,831.86
  6. Step 6: Final answer
    x = 22,636.63

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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.