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Finding the Fourth Proportional to 37,123.36, 55,679.38 and 12,166

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Solution

The fourth proportional to 37,123.36, 55,679.38 and 12,166 is: 18,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,123.36 : 55,679.38 = 12,166 : x
  2. Step 2: Convert to fraction form
    37,123.36/55,679.38 = 12,166/x
  3. Step 3: Cross multiply
    37,123.36x = 55,679.38 × 12,166
  4. Step 4: Simplify right side
    37,123.36x = 677,395,337.08
  5. Step 5: Solve for x
    x = 677,395,337.08/37,123.36
  6. Step 6: Final answer
    x = 18,247.15

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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.