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Finding the Fourth Proportional to 52,008.56, 71,771.56 and 28,135.20

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Solution

The fourth proportional to 52,008.56, 71,771.56 and 28,135.20 is: 38,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,008.56 : 71,771.56 = 28,135.20 : x
  2. Step 2: Convert to fraction form
    52,008.56/71,771.56 = 28,135.20/x
  3. Step 3: Cross multiply
    52,008.56x = 71,771.56 × 28,135.20
  4. Step 4: Simplify right side
    52,008.56x = 2,019,307,194.91
  5. Step 5: Solve for x
    x = 2,019,307,194.91/52,008.56
  6. Step 6: Final answer
    x = 38,826.44

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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.