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Finding the Fourth Proportional to 37,997.54, 56,997.47 and 13,037.24

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Solution

The fourth proportional to 37,997.54, 56,997.47 and 13,037.24 is: 19,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,997.54 : 56,997.47 = 13,037.24 : x
  2. Step 2: Convert to fraction form
    37,997.54/56,997.47 = 13,037.24/x
  3. Step 3: Cross multiply
    37,997.54x = 56,997.47 × 13,037.24
  4. Step 4: Simplify right side
    37,997.54x = 743,089,345.61
  5. Step 5: Solve for x
    x = 743,089,345.61/37,997.54
  6. Step 6: Final answer
    x = 19,556.25

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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.