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Finding the Fourth Proportional to 52,739, 79,127.96 and 27,778.04

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Solution

The fourth proportional to 52,739, 79,127.96 and 27,778.04 is: 41,677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,739 : 79,127.96 = 27,778.04 : x
  2. Step 2: Convert to fraction form
    52,739/79,127.96 = 27,778.04/x
  3. Step 3: Cross multiply
    52,739x = 79,127.96 × 27,778.04
  4. Step 4: Simplify right side
    52,739x = 2,198,019,638.00
  5. Step 5: Solve for x
    x = 2,198,019,638.00/52,739
  6. Step 6: Final answer
    x = 41,677.31

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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.