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Finding the Fourth Proportional to 54,718, 82,077 and 13,165

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Solution

The fourth proportional to 54,718, 82,077 and 13,165 is: 19,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,718 : 82,077 = 13,165 : x
  2. Step 2: Convert to fraction form
    54,718/82,077 = 13,165/x
  3. Step 3: Cross multiply
    54,718x = 82,077 × 13,165
  4. Step 4: Simplify right side
    54,718x = 1,080,543,705
  5. Step 5: Solve for x
    x = 1,080,543,705/54,718
  6. Step 6: Final answer
    x = 19,747.50

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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.