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Finding the Fourth Proportional to 52,021.80, 71,789.94 and 28,148.88

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Solution

The fourth proportional to 52,021.80, 71,789.94 and 28,148.88 is: 38,845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,021.80 : 71,789.94 = 28,148.88 : x
  2. Step 2: Convert to fraction form
    52,021.80/71,789.94 = 28,148.88/x
  3. Step 3: Cross multiply
    52,021.80x = 71,789.94 × 28,148.88
  4. Step 4: Simplify right side
    52,021.80x = 2,020,806,406.27
  5. Step 5: Solve for x
    x = 2,020,806,406.27/52,021.80
  6. Step 6: Final answer
    x = 38,845.38

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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.