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Finding the Fourth Proportional to 52,029.56, 71,800.97 and 28,156.23

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Solution

The fourth proportional to 52,029.56, 71,800.97 and 28,156.23 is: 38,855.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,029.56 : 71,800.97 = 28,156.23 : x
  2. Step 2: Convert to fraction form
    52,029.56/71,800.97 = 28,156.23/x
  3. Step 3: Cross multiply
    52,029.56x = 71,800.97 × 28,156.23
  4. Step 4: Simplify right side
    52,029.56x = 2,021,644,695.93
  5. Step 5: Solve for x
    x = 2,021,644,695.93/52,029.56
  6. Step 6: Final answer
    x = 38,855.69

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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.