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Finding the Fourth Proportional to 52,098.72, 71,896.10 and 28,225.98

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Solution

The fourth proportional to 52,098.72, 71,896.10 and 28,225.98 is: 38,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,098.72 : 71,896.10 = 28,225.98 : x
  2. Step 2: Convert to fraction form
    52,098.72/71,896.10 = 28,225.98/x
  3. Step 3: Cross multiply
    52,098.72x = 71,896.10 × 28,225.98
  4. Step 4: Simplify right side
    52,098.72x = 2,029,337,880.68
  5. Step 5: Solve for x
    x = 2,029,337,880.68/52,098.72
  6. Step 6: Final answer
    x = 38,951.78

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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.