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Finding the Fourth Proportional to 48,760, 73,140 and 11,824

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Solution

The fourth proportional to 48,760, 73,140 and 11,824 is: 17,736

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,760 : 73,140 = 11,824 : x
  2. Step 2: Convert to fraction form
    48,760/73,140 = 11,824/x
  3. Step 3: Cross multiply
    48,760x = 73,140 × 11,824
  4. Step 4: Simplify right side
    48,760x = 864,807,360
  5. Step 5: Solve for x
    x = 864,807,360/48,760
  6. Step 6: Final answer
    x = 17,736

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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.