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Finding the Fourth Proportional to 57,679.60, 86,519.40 and 46,015.60

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Solution

The fourth proportional to 57,679.60, 86,519.40 and 46,015.60 is: 69,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,679.60 : 86,519.40 = 46,015.60 : x
  2. Step 2: Convert to fraction form
    57,679.60/86,519.40 = 46,015.60/x
  3. Step 3: Cross multiply
    57,679.60x = 86,519.40 × 46,015.60
  4. Step 4: Simplify right side
    57,679.60x = 3,981,242,102.64
  5. Step 5: Solve for x
    x = 3,981,242,102.64/57,679.60
  6. Step 6: Final answer
    x = 69,023.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.