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Finding the Fourth Proportional to 51,535.38, 71,102.66 and 28,871.30

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Solution

The fourth proportional to 51,535.38, 71,102.66 and 28,871.30 is: 39,833.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,535.38 : 71,102.66 = 28,871.30 : x
  2. Step 2: Convert to fraction form
    51,535.38/71,102.66 = 28,871.30/x
  3. Step 3: Cross multiply
    51,535.38x = 71,102.66 × 28,871.30
  4. Step 4: Simplify right side
    51,535.38x = 2,052,826,227.66
  5. Step 5: Solve for x
    x = 2,052,826,227.66/51,535.38
  6. Step 6: Final answer
    x = 39,833.34

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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.