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Finding the Fourth Proportional to 52,022.45, 71,790.45 and 28,148.60

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Solution

The fourth proportional to 52,022.45, 71,790.45 and 28,148.60 is: 38,844.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,022.45 : 71,790.45 = 28,148.60 : x
  2. Step 2: Convert to fraction form
    52,022.45/71,790.45 = 28,148.60/x
  3. Step 3: Cross multiply
    52,022.45x = 71,790.45 × 28,148.60
  4. Step 4: Simplify right side
    52,022.45x = 2,020,800,660.87
  5. Step 5: Solve for x
    x = 2,020,800,660.87/52,022.45
  6. Step 6: Final answer
    x = 38,844.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.