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Finding the Fourth Proportional to 57,292.92, 85,939.92 and 17,847

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Solution

The fourth proportional to 57,292.92, 85,939.92 and 17,847 is: 26,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,292.92 : 85,939.92 = 17,847 : x
  2. Step 2: Convert to fraction form
    57,292.92/85,939.92 = 17,847/x
  3. Step 3: Cross multiply
    57,292.92x = 85,939.92 × 17,847
  4. Step 4: Simplify right side
    57,292.92x = 1,533,769,752.24
  5. Step 5: Solve for x
    x = 1,533,769,752.24/57,292.92
  6. Step 6: Final answer
    x = 26,770.67

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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.