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Finding the Fourth Proportional to 50,692.08, 69,952.24 and 28,029.76

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Solution

The fourth proportional to 50,692.08, 69,952.24 and 28,029.76 is: 38,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,692.08 : 69,952.24 = 28,029.76 : x
  2. Step 2: Convert to fraction form
    50,692.08/69,952.24 = 28,029.76/x
  3. Step 3: Cross multiply
    50,692.08x = 69,952.24 × 28,029.76
  4. Step 4: Simplify right side
    50,692.08x = 1,960,744,498.66
  5. Step 5: Solve for x
    x = 1,960,744,498.66/50,692.08
  6. Step 6: Final answer
    x = 38,679.50

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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.