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Finding the Fourth Proportional to 57,857.60, 86,786.40 and 53,710.40

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Solution

The fourth proportional to 57,857.60, 86,786.40 and 53,710.40 is: 80,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,857.60 : 86,786.40 = 53,710.40 : x
  2. Step 2: Convert to fraction form
    57,857.60/86,786.40 = 53,710.40/x
  3. Step 3: Cross multiply
    57,857.60x = 86,786.40 × 53,710.40
  4. Step 4: Simplify right side
    57,857.60x = 4,661,332,258.56
  5. Step 5: Solve for x
    x = 4,661,332,258.56/57,857.60
  6. Step 6: Final answer
    x = 80,565.60

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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.