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Finding the Fourth Proportional to 55,673.56, 83,506.56 and 26,098

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Solution

The fourth proportional to 55,673.56, 83,506.56 and 26,098 is: 39,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,673.56 : 83,506.56 = 26,098 : x
  2. Step 2: Convert to fraction form
    55,673.56/83,506.56 = 26,098/x
  3. Step 3: Cross multiply
    55,673.56x = 83,506.56 × 26,098
  4. Step 4: Simplify right side
    55,673.56x = 2,179,354,202.88
  5. Step 5: Solve for x
    x = 2,179,354,202.88/55,673.56
  6. Step 6: Final answer
    x = 39,145.23

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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.