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Finding the Fourth Proportional to 27,355.97, 37,751.24 and 14,780.72

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Solution

The fourth proportional to 27,355.97, 37,751.24 and 14,780.72 is: 20,397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,355.97 : 37,751.24 = 14,780.72 : x
  2. Step 2: Convert to fraction form
    27,355.97/37,751.24 = 14,780.72/x
  3. Step 3: Cross multiply
    27,355.97x = 37,751.24 × 14,780.72
  4. Step 4: Simplify right side
    27,355.97x = 557,990,245.43
  5. Step 5: Solve for x
    x = 557,990,245.43/27,355.97
  6. Step 6: Final answer
    x = 20,397.39

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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.