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Finding the Fourth Proportional to 57,207.80, 85,818.10 and 17,764.60

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Solution

The fourth proportional to 57,207.80, 85,818.10 and 17,764.60 is: 26,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,207.80 : 85,818.10 = 17,764.60 : x
  2. Step 2: Convert to fraction form
    57,207.80/85,818.10 = 17,764.60/x
  3. Step 3: Cross multiply
    57,207.80x = 85,818.10 × 17,764.60
  4. Step 4: Simplify right side
    57,207.80x = 1,524,524,219.26
  5. Step 5: Solve for x
    x = 1,524,524,219.26/57,207.80
  6. Step 6: Final answer
    x = 26,648.89

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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.