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Finding the Fourth Proportional to 85,438.20, 117,906.48 and 47,712.48

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Solution

The fourth proportional to 85,438.20, 117,906.48 and 47,712.48 is: 65,844.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,438.20 : 117,906.48 = 47,712.48 : x
  2. Step 2: Convert to fraction form
    85,438.20/117,906.48 = 47,712.48/x
  3. Step 3: Cross multiply
    85,438.20x = 117,906.48 × 47,712.48
  4. Step 4: Simplify right side
    85,438.20x = 5,625,610,568.87
  5. Step 5: Solve for x
    x = 5,625,610,568.87/85,438.20
  6. Step 6: Final answer
    x = 65,844.21

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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.