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Finding the Fourth Proportional to 37,738.67, 56,608.16 and 11,443.64

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Solution

The fourth proportional to 37,738.67, 56,608.16 and 11,443.64 is: 17,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,738.67 : 56,608.16 = 11,443.64 : x
  2. Step 2: Convert to fraction form
    37,738.67/56,608.16 = 11,443.64/x
  3. Step 3: Cross multiply
    37,738.67x = 56,608.16 × 11,443.64
  4. Step 4: Simplify right side
    37,738.67x = 647,803,404.10
  5. Step 5: Solve for x
    x = 647,803,404.10/37,738.67
  6. Step 6: Final answer
    x = 17,165.51

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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.