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Finding the Fourth Proportional to 85,383.60, 117,824.48 and 47,660.24

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Solution

The fourth proportional to 85,383.60, 117,824.48 and 47,660.24 is: 65,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,383.60 : 117,824.48 = 47,660.24 : x
  2. Step 2: Convert to fraction form
    85,383.60/117,824.48 = 47,660.24/x
  3. Step 3: Cross multiply
    85,383.60x = 117,824.48 × 47,660.24
  4. Step 4: Simplify right side
    85,383.60x = 5,615,542,994.68
  5. Step 5: Solve for x
    x = 5,615,542,994.68/85,383.60
  6. Step 6: Final answer
    x = 65,768.40

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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.