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Finding the Fourth Proportional to 37,968.24, 56,955.24 and 10,266

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Solution

The fourth proportional to 37,968.24, 56,955.24 and 10,266 is: 15,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,968.24 : 56,955.24 = 10,266 : x
  2. Step 2: Convert to fraction form
    37,968.24/56,955.24 = 10,266/x
  3. Step 3: Cross multiply
    37,968.24x = 56,955.24 × 10,266
  4. Step 4: Simplify right side
    37,968.24x = 584,702,493.84
  5. Step 5: Solve for x
    x = 584,702,493.84/37,968.24
  6. Step 6: Final answer
    x = 15,399.78

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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.