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Finding the Fourth Proportional to 57,200.64, 85,819.24 and 17,765.52

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Solution

The fourth proportional to 57,200.64, 85,819.24 and 17,765.52 is: 26,653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,200.64 : 85,819.24 = 17,765.52 : x
  2. Step 2: Convert to fraction form
    57,200.64/85,819.24 = 17,765.52/x
  3. Step 3: Cross multiply
    57,200.64x = 85,819.24 × 17,765.52
  4. Step 4: Simplify right side
    57,200.64x = 1,524,623,424.60
  5. Step 5: Solve for x
    x = 1,524,623,424.60/57,200.64
  6. Step 6: Final answer
    x = 26,653.96

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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.