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Finding the Fourth Proportional to 53,692.92, 80,521.14 and 20,404.98

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Solution

The fourth proportional to 53,692.92, 80,521.14 and 20,404.98 is: 30,600.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,692.92 : 80,521.14 = 20,404.98 : x
  2. Step 2: Convert to fraction form
    53,692.92/80,521.14 = 20,404.98/x
  3. Step 3: Cross multiply
    53,692.92x = 80,521.14 × 20,404.98
  4. Step 4: Simplify right side
    53,692.92x = 1,643,032,251.28
  5. Step 5: Solve for x
    x = 1,643,032,251.28/53,692.92
  6. Step 6: Final answer
    x = 30,600.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.