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Finding the Fourth Proportional to 75,277, 103,884.42 and 41,745.16

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Solution

The fourth proportional to 75,277, 103,884.42 and 41,745.16 is: 57,609.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,277 : 103,884.42 = 41,745.16 : x
  2. Step 2: Convert to fraction form
    75,277/103,884.42 = 41,745.16/x
  3. Step 3: Cross multiply
    75,277x = 103,884.42 × 41,745.16
  4. Step 4: Simplify right side
    75,277x = 4,336,671,734.41
  5. Step 5: Solve for x
    x = 4,336,671,734.41/75,277
  6. Step 6: Final answer
    x = 57,609.52

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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.