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Finding the Fourth Proportional to 53,175.88, 79,760.94 and 16,237

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Solution

The fourth proportional to 53,175.88, 79,760.94 and 16,237 is: 24,354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,175.88 : 79,760.94 = 16,237 : x
  2. Step 2: Convert to fraction form
    53,175.88/79,760.94 = 16,237/x
  3. Step 3: Cross multiply
    53,175.88x = 79,760.94 × 16,237
  4. Step 4: Simplify right side
    53,175.88x = 1,295,078,382.78
  5. Step 5: Solve for x
    x = 1,295,078,382.78/53,175.88
  6. Step 6: Final answer
    x = 24,354.62

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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.