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Finding the Fourth Proportional to 53,898.80, 80,842.01 and 14,452.82

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Solution

The fourth proportional to 53,898.80, 80,842.01 and 14,452.82 is: 21,677.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,898.80 : 80,842.01 = 14,452.82 : x
  2. Step 2: Convert to fraction form
    53,898.80/80,842.01 = 14,452.82/x
  3. Step 3: Cross multiply
    53,898.80x = 80,842.01 × 14,452.82
  4. Step 4: Simplify right side
    53,898.80x = 1,168,394,542.49
  5. Step 5: Solve for x
    x = 1,168,394,542.49/53,898.80
  6. Step 6: Final answer
    x = 21,677.56

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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.