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Finding the Fourth Proportional to 52,029.01, 71,800.56 and 28,156.20

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Solution

The fourth proportional to 52,029.01, 71,800.56 and 28,156.20 is: 38,855.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,029.01 : 71,800.56 = 28,156.20 : x
  2. Step 2: Convert to fraction form
    52,029.01/71,800.56 = 28,156.20/x
  3. Step 3: Cross multiply
    52,029.01x = 71,800.56 × 28,156.20
  4. Step 4: Simplify right side
    52,029.01x = 2,021,630,427.69
  5. Step 5: Solve for x
    x = 2,021,630,427.69/52,029.01
  6. Step 6: Final answer
    x = 38,855.83

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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.