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Finding the Fourth Proportional to 54,837.81, 82,243.98 and 17,390.88

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Solution

The fourth proportional to 54,837.81, 82,243.98 and 17,390.88 is: 26,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,837.81 : 82,243.98 = 17,390.88 : x
  2. Step 2: Convert to fraction form
    54,837.81/82,243.98 = 17,390.88/x
  3. Step 3: Cross multiply
    54,837.81x = 82,243.98 × 17,390.88
  4. Step 4: Simplify right side
    54,837.81x = 1,430,295,186.90
  5. Step 5: Solve for x
    x = 1,430,295,186.90/54,837.81
  6. Step 6: Final answer
    x = 26,082.28

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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.