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Finding the Fourth Proportional to 57,202.31, 78,939.21 and 34,846.31

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Solution

The fourth proportional to 57,202.31, 78,939.21 and 34,846.31 is: 48,087.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,202.31 : 78,939.21 = 34,846.31 : x
  2. Step 2: Convert to fraction form
    57,202.31/78,939.21 = 34,846.31/x
  3. Step 3: Cross multiply
    57,202.31x = 78,939.21 × 34,846.31
  4. Step 4: Simplify right side
    57,202.31x = 2,750,740,510.84
  5. Step 5: Solve for x
    x = 2,750,740,510.84/57,202.31
  6. Step 6: Final answer
    x = 48,087.92

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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.