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Finding the Fourth Proportional to 53,703.72, 80,536.41 and 20,414.97

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Solution

The fourth proportional to 53,703.72, 80,536.41 and 20,414.97 is: 30,615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,703.72 : 80,536.41 = 20,414.97 : x
  2. Step 2: Convert to fraction form
    53,703.72/80,536.41 = 20,414.97/x
  3. Step 3: Cross multiply
    53,703.72x = 80,536.41 × 20,414.97
  4. Step 4: Simplify right side
    53,703.72x = 1,644,148,394.06
  5. Step 5: Solve for x
    x = 1,644,148,394.06/53,703.72
  6. Step 6: Final answer
    x = 30,615.17

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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.