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Finding the Fourth Proportional to 52,744, 79,135.46 and 27,783.04

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Solution

The fourth proportional to 52,744, 79,135.46 and 27,783.04 is: 41,684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,744 : 79,135.46 = 27,783.04 : x
  2. Step 2: Convert to fraction form
    52,744/79,135.46 = 27,783.04/x
  3. Step 3: Cross multiply
    52,744x = 79,135.46 × 27,783.04
  4. Step 4: Simplify right side
    52,744x = 2,198,623,650.60
  5. Step 5: Solve for x
    x = 2,198,623,650.60/52,744
  6. Step 6: Final answer
    x = 41,684.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.