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Finding the Fourth Proportional to 57,871.10, 86,814.97 and 17,893.20

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Solution

The fourth proportional to 57,871.10, 86,814.97 and 17,893.20 is: 26,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,871.10 : 86,814.97 = 17,893.20 : x
  2. Step 2: Convert to fraction form
    57,871.10/86,814.97 = 17,893.20/x
  3. Step 3: Cross multiply
    57,871.10x = 86,814.97 × 17,893.20
  4. Step 4: Simplify right side
    57,871.10x = 1,553,397,927.19
  5. Step 5: Solve for x
    x = 1,553,397,927.19/57,871.10
  6. Step 6: Final answer
    x = 26,842.38

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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.