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Finding the Fourth Proportional to 57,811.60, 86,733.60 and 28,230.40

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Solution

The fourth proportional to 57,811.60, 86,733.60 and 28,230.40 is: 42,353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,811.60 : 86,733.60 = 28,230.40 : x
  2. Step 2: Convert to fraction form
    57,811.60/86,733.60 = 28,230.40/x
  3. Step 3: Cross multiply
    57,811.60x = 86,733.60 × 28,230.40
  4. Step 4: Simplify right side
    57,811.60x = 2,448,524,221.44
  5. Step 5: Solve for x
    x = 2,448,524,221.44/57,811.60
  6. Step 6: Final answer
    x = 42,353.51

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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.