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Finding the Fourth Proportional to 53,336.85, 80,006.49 and 18,276

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Solution

The fourth proportional to 53,336.85, 80,006.49 and 18,276 is: 27,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,336.85 : 80,006.49 = 18,276 : x
  2. Step 2: Convert to fraction form
    53,336.85/80,006.49 = 18,276/x
  3. Step 3: Cross multiply
    53,336.85x = 80,006.49 × 18,276
  4. Step 4: Simplify right side
    53,336.85x = 1,462,198,611.24
  5. Step 5: Solve for x
    x = 1,462,198,611.24/53,336.85
  6. Step 6: Final answer
    x = 27,414.42

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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.