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Finding the Fourth Proportional to 51,909.82, 71,635.56 and 28,036.50

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Solution

The fourth proportional to 51,909.82, 71,635.56 and 28,036.50 is: 38,690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,909.82 : 71,635.56 = 28,036.50 : x
  2. Step 2: Convert to fraction form
    51,909.82/71,635.56 = 28,036.50/x
  3. Step 3: Cross multiply
    51,909.82x = 71,635.56 × 28,036.50
  4. Step 4: Simplify right side
    51,909.82x = 2,008,410,377.94
  5. Step 5: Solve for x
    x = 2,008,410,377.94/51,909.82
  6. Step 6: Final answer
    x = 38,690.37

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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.