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Finding the Fourth Proportional to 27,458.72, 37,891.83 and 16,129.38

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Solution

The fourth proportional to 27,458.72, 37,891.83 and 16,129.38 is: 22,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,458.72 : 37,891.83 = 16,129.38 : x
  2. Step 2: Convert to fraction form
    27,458.72/37,891.83 = 16,129.38/x
  3. Step 3: Cross multiply
    27,458.72x = 37,891.83 × 16,129.38
  4. Step 4: Simplify right side
    27,458.72x = 611,171,495.18
  5. Step 5: Solve for x
    x = 611,171,495.18/27,458.72
  6. Step 6: Final answer
    x = 22,257.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.