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Finding the Fourth Proportional to 27,408.27, 37,831.30 and 16,078.25

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Solution

The fourth proportional to 27,408.27, 37,831.30 and 16,078.25 is: 22,192.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408.27 : 37,831.30 = 16,078.25 : x
  2. Step 2: Convert to fraction form
    27,408.27/37,831.30 = 16,078.25/x
  3. Step 3: Cross multiply
    27,408.27x = 37,831.30 × 16,078.25
  4. Step 4: Simplify right side
    27,408.27x = 608,261,031.25
  5. Step 5: Solve for x
    x = 608,261,031.25/27,408.27
  6. Step 6: Final answer
    x = 22,192.61

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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.