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Finding the Fourth Proportional to 53,535.50, 80,308.20 and 14,092.82

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Solution

The fourth proportional to 53,535.50, 80,308.20 and 14,092.82 is: 21,140.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,535.50 : 80,308.20 = 14,092.82 : x
  2. Step 2: Convert to fraction form
    53,535.50/80,308.20 = 14,092.82/x
  3. Step 3: Cross multiply
    53,535.50x = 80,308.20 × 14,092.82
  4. Step 4: Simplify right side
    53,535.50x = 1,131,769,007.12
  5. Step 5: Solve for x
    x = 1,131,769,007.12/53,535.50
  6. Step 6: Final answer
    x = 21,140.53

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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.