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Finding the Fourth Proportional to 37,257.60, 55,896.16 and 12,301.44

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Solution

The fourth proportional to 37,257.60, 55,896.16 and 12,301.44 is: 18,455.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,257.60 : 55,896.16 = 12,301.44 : x
  2. Step 2: Convert to fraction form
    37,257.60/55,896.16 = 12,301.44/x
  3. Step 3: Cross multiply
    37,257.60x = 55,896.16 × 12,301.44
  4. Step 4: Simplify right side
    37,257.60x = 687,603,258.47
  5. Step 5: Solve for x
    x = 687,603,258.47/37,257.60
  6. Step 6: Final answer
    x = 18,455.38

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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.