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Finding the Fourth Proportional to 37,119.50, 55,678.17 and 13,745.42

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Solution

The fourth proportional to 37,119.50, 55,678.17 and 13,745.42 is: 20,617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,119.50 : 55,678.17 = 13,745.42 : x
  2. Step 2: Convert to fraction form
    37,119.50/55,678.17 = 13,745.42/x
  3. Step 3: Cross multiply
    37,119.50x = 55,678.17 × 13,745.42
  4. Step 4: Simplify right side
    37,119.50x = 765,319,831.48
  5. Step 5: Solve for x
    x = 765,319,831.48/37,119.50
  6. Step 6: Final answer
    x = 20,617.73

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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.