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Finding the Fourth Proportional to 74,856, 103,301.46 and 41,322

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Solution

The fourth proportional to 74,856, 103,301.46 and 41,322 is: 57,024.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,856 : 103,301.46 = 41,322 : x
  2. Step 2: Convert to fraction form
    74,856/103,301.46 = 41,322/x
  3. Step 3: Cross multiply
    74,856x = 103,301.46 × 41,322
  4. Step 4: Simplify right side
    74,856x = 4,268,622,930.12
  5. Step 5: Solve for x
    x = 4,268,622,930.12/74,856
  6. Step 6: Final answer
    x = 57,024.46

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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.