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Finding the Fourth Proportional to 52,057.16, 71,838.90 and 28,183.82

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Solution

The fourth proportional to 52,057.16, 71,838.90 and 28,183.82 is: 38,893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,057.16 : 71,838.90 = 28,183.82 : x
  2. Step 2: Convert to fraction form
    52,057.16/71,838.90 = 28,183.82/x
  3. Step 3: Cross multiply
    52,057.16x = 71,838.90 × 28,183.82
  4. Step 4: Simplify right side
    52,057.16x = 2,024,694,267.40
  5. Step 5: Solve for x
    x = 2,024,694,267.40/52,057.16
  6. Step 6: Final answer
    x = 38,893.68

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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.