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Finding the Fourth Proportional to 51,953.87, 71,692.02 and 29,298.44

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Solution

The fourth proportional to 51,953.87, 71,692.02 and 29,298.44 is: 40,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,953.87 : 71,692.02 = 29,298.44 : x
  2. Step 2: Convert to fraction form
    51,953.87/71,692.02 = 29,298.44/x
  3. Step 3: Cross multiply
    51,953.87x = 71,692.02 × 29,298.44
  4. Step 4: Simplify right side
    51,953.87x = 2,100,464,525.68
  5. Step 5: Solve for x
    x = 2,100,464,525.68/51,953.87
  6. Step 6: Final answer
    x = 40,429.41

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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.