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Finding the Fourth Proportional to 47,974.68, 66,146.22 and 39,447

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Solution

The fourth proportional to 47,974.68, 66,146.22 and 39,447 is: 54,388.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,974.68 : 66,146.22 = 39,447 : x
  2. Step 2: Convert to fraction form
    47,974.68/66,146.22 = 39,447/x
  3. Step 3: Cross multiply
    47,974.68x = 66,146.22 × 39,447
  4. Step 4: Simplify right side
    47,974.68x = 2,609,269,940.34
  5. Step 5: Solve for x
    x = 2,609,269,940.34/47,974.68
  6. Step 6: Final answer
    x = 54,388.48

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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.