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Finding the Fourth Proportional to 51,590.28, 71,198.01 and 28,930.77

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Solution

The fourth proportional to 51,590.28, 71,198.01 and 28,930.77 is: 39,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,590.28 : 71,198.01 = 28,930.77 : x
  2. Step 2: Convert to fraction form
    51,590.28/71,198.01 = 28,930.77/x
  3. Step 3: Cross multiply
    51,590.28x = 71,198.01 × 28,930.77
  4. Step 4: Simplify right side
    51,590.28x = 2,059,813,251.77
  5. Step 5: Solve for x
    x = 2,059,813,251.77/51,590.28
  6. Step 6: Final answer
    x = 39,926.38

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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.