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Finding the Fourth Proportional to 57,189.70, 85,796.01 and 19,751.14

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Solution

The fourth proportional to 57,189.70, 85,796.01 and 19,751.14 is: 29,630.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,189.70 : 85,796.01 = 19,751.14 : x
  2. Step 2: Convert to fraction form
    57,189.70/85,796.01 = 19,751.14/x
  3. Step 3: Cross multiply
    57,189.70x = 85,796.01 × 19,751.14
  4. Step 4: Simplify right side
    57,189.70x = 1,694,569,112.20
  5. Step 5: Solve for x
    x = 1,694,569,112.20/57,189.70
  6. Step 6: Final answer
    x = 29,630.67

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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.