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Finding the Fourth Proportional to 27,542.52, 37,999.70 and 16,054.80

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Solution

The fourth proportional to 27,542.52, 37,999.70 and 16,054.80 is: 22,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542.52 : 37,999.70 = 16,054.80 : x
  2. Step 2: Convert to fraction form
    27,542.52/37,999.70 = 16,054.80/x
  3. Step 3: Cross multiply
    27,542.52x = 37,999.70 × 16,054.80
  4. Step 4: Simplify right side
    27,542.52x = 610,077,503.29
  5. Step 5: Solve for x
    x = 610,077,503.29/27,542.52
  6. Step 6: Final answer
    x = 22,150.39

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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.