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Finding the Fourth Proportional to 53,202.43, 79,815.32 and 15,765.42

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Solution

The fourth proportional to 53,202.43, 79,815.32 and 15,765.42 is: 23,651.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,202.43 : 79,815.32 = 15,765.42 : x
  2. Step 2: Convert to fraction form
    53,202.43/79,815.32 = 15,765.42/x
  3. Step 3: Cross multiply
    53,202.43x = 79,815.32 × 15,765.42
  4. Step 4: Simplify right side
    53,202.43x = 1,258,322,042.23
  5. Step 5: Solve for x
    x = 1,258,322,042.23/53,202.43
  6. Step 6: Final answer
    x = 23,651.59

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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.