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Finding the Fourth Proportional to 57,116.98, 85,714.23 and 20,180.98

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Solution

The fourth proportional to 57,116.98, 85,714.23 and 20,180.98 is: 30,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,116.98 : 85,714.23 = 20,180.98 : x
  2. Step 2: Convert to fraction form
    57,116.98/85,714.23 = 20,180.98/x
  3. Step 3: Cross multiply
    57,116.98x = 85,714.23 × 20,180.98
  4. Step 4: Simplify right side
    57,116.98x = 1,729,797,161.35
  5. Step 5: Solve for x
    x = 1,729,797,161.35/57,116.98
  6. Step 6: Final answer
    x = 30,285.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.