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Finding the Fourth Proportional to 53,836.80, 80,747.52 and 16,896

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Solution

The fourth proportional to 53,836.80, 80,747.52 and 16,896 is: 25,341.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,836.80 : 80,747.52 = 16,896 : x
  2. Step 2: Convert to fraction form
    53,836.80/80,747.52 = 16,896/x
  3. Step 3: Cross multiply
    53,836.80x = 80,747.52 × 16,896
  4. Step 4: Simplify right side
    53,836.80x = 1,364,310,097.92
  5. Step 5: Solve for x
    x = 1,364,310,097.92/53,836.80
  6. Step 6: Final answer
    x = 25,341.59

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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.