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Finding the Fourth Proportional to 47,162, 65,083.60 and 27,290

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Solution

The fourth proportional to 47,162, 65,083.60 and 27,290 is: 37,660.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,162 : 65,083.60 = 27,290 : x
  2. Step 2: Convert to fraction form
    47,162/65,083.60 = 27,290/x
  3. Step 3: Cross multiply
    47,162x = 65,083.60 × 27,290
  4. Step 4: Simplify right side
    47,162x = 1,776,131,444
  5. Step 5: Solve for x
    x = 1,776,131,444/47,162
  6. Step 6: Final answer
    x = 37,660.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.