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Finding the Fourth Proportional to 57,474.96, 79,312.59 and 31,982.82

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Solution

The fourth proportional to 57,474.96, 79,312.59 and 31,982.82 is: 44,134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,474.96 : 79,312.59 = 31,982.82 : x
  2. Step 2: Convert to fraction form
    57,474.96/79,312.59 = 31,982.82/x
  3. Step 3: Cross multiply
    57,474.96x = 79,312.59 × 31,982.82
  4. Step 4: Simplify right side
    57,474.96x = 2,536,640,289.70
  5. Step 5: Solve for x
    x = 2,536,640,289.70/57,474.96
  6. Step 6: Final answer
    x = 44,134.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.