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Finding the Fourth Proportional to 57,202.44, 85,815.14 and 19,763.88

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Solution

The fourth proportional to 57,202.44, 85,815.14 and 19,763.88 is: 29,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,202.44 : 85,815.14 = 19,763.88 : x
  2. Step 2: Convert to fraction form
    57,202.44/85,815.14 = 19,763.88/x
  3. Step 3: Cross multiply
    57,202.44x = 85,815.14 × 19,763.88
  4. Step 4: Simplify right side
    57,202.44x = 1,696,040,030.32
  5. Step 5: Solve for x
    x = 1,696,040,030.32/57,202.44
  6. Step 6: Final answer
    x = 29,649.78

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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.