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Finding the Fourth Proportional to 53,692.76, 80,543.14 and 14,249

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Solution

The fourth proportional to 53,692.76, 80,543.14 and 14,249 is: 21,374.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,692.76 : 80,543.14 = 14,249 : x
  2. Step 2: Convert to fraction form
    53,692.76/80,543.14 = 14,249/x
  3. Step 3: Cross multiply
    53,692.76x = 80,543.14 × 14,249
  4. Step 4: Simplify right side
    53,692.76x = 1,147,659,201.86
  5. Step 5: Solve for x
    x = 1,147,659,201.86/53,692.76
  6. Step 6: Final answer
    x = 21,374.56

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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.