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Finding the Fourth Proportional to 53,713.08, 80,550.90 and 22,114.08

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Solution

The fourth proportional to 53,713.08, 80,550.90 and 22,114.08 is: 33,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,713.08 : 80,550.90 = 22,114.08 : x
  2. Step 2: Convert to fraction form
    53,713.08/80,550.90 = 22,114.08/x
  3. Step 3: Cross multiply
    53,713.08x = 80,550.90 × 22,114.08
  4. Step 4: Simplify right side
    53,713.08x = 1,781,309,046.67
  5. Step 5: Solve for x
    x = 1,781,309,046.67/53,713.08
  6. Step 6: Final answer
    x = 33,163.41

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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.