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Finding the Fourth Proportional to 37,970.24, 56,958.24 and 10,268

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Solution

The fourth proportional to 37,970.24, 56,958.24 and 10,268 is: 15,402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,970.24 : 56,958.24 = 10,268 : x
  2. Step 2: Convert to fraction form
    37,970.24/56,958.24 = 10,268/x
  3. Step 3: Cross multiply
    37,970.24x = 56,958.24 × 10,268
  4. Step 4: Simplify right side
    37,970.24x = 584,847,208.32
  5. Step 5: Solve for x
    x = 584,847,208.32/37,970.24
  6. Step 6: Final answer
    x = 15,402.78

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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.