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Finding the Fourth Proportional to 52,056.56, 71,838 and 28,183.24

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Solution

The fourth proportional to 52,056.56, 71,838 and 28,183.24 is: 38,892.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,056.56 : 71,838 = 28,183.24 : x
  2. Step 2: Convert to fraction form
    52,056.56/71,838 = 28,183.24/x
  3. Step 3: Cross multiply
    52,056.56x = 71,838 × 28,183.24
  4. Step 4: Simplify right side
    52,056.56x = 2,024,627,595.12
  5. Step 5: Solve for x
    x = 2,024,627,595.12/52,056.56
  6. Step 6: Final answer
    x = 38,892.84

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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.