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Finding the Fourth Proportional to 37,238.83, 55,846.38 and 12,274.21

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Solution

The fourth proportional to 37,238.83, 55,846.38 and 12,274.21 is: 18,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,238.83 : 55,846.38 = 12,274.21 : x
  2. Step 2: Convert to fraction form
    37,238.83/55,846.38 = 12,274.21/x
  3. Step 3: Cross multiply
    37,238.83x = 55,846.38 × 12,274.21
  4. Step 4: Simplify right side
    37,238.83x = 685,470,195.86
  5. Step 5: Solve for x
    x = 685,470,195.86/37,238.83
  6. Step 6: Final answer
    x = 18,407.40

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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.