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Finding the Fourth Proportional to 53,609.52, 80,422.50 and 16,164.63

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Solution

The fourth proportional to 53,609.52, 80,422.50 and 16,164.63 is: 24,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,609.52 : 80,422.50 = 16,164.63 : x
  2. Step 2: Convert to fraction form
    53,609.52/80,422.50 = 16,164.63/x
  3. Step 3: Cross multiply
    53,609.52x = 80,422.50 × 16,164.63
  4. Step 4: Simplify right side
    53,609.52x = 1,299,999,956.18
  5. Step 5: Solve for x
    x = 1,299,999,956.18/53,609.52
  6. Step 6: Final answer
    x = 24,249.42

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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.