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Finding the Fourth Proportional to 56,005.80, 84,023.01 and 18,576.33

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Solution

The fourth proportional to 56,005.80, 84,023.01 and 18,576.33 is: 27,869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,005.80 : 84,023.01 = 18,576.33 : x
  2. Step 2: Convert to fraction form
    56,005.80/84,023.01 = 18,576.33/x
  3. Step 3: Cross multiply
    56,005.80x = 84,023.01 × 18,576.33
  4. Step 4: Simplify right side
    56,005.80x = 1,560,839,161.35
  5. Step 5: Solve for x
    x = 1,560,839,161.35/56,005.80
  6. Step 6: Final answer
    x = 27,869.24

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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.