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Finding the Fourth Proportional to 55,744, 76,926.84 and 30,593.44

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Solution

The fourth proportional to 55,744, 76,926.84 and 30,593.44 is: 42,219.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,744 : 76,926.84 = 30,593.44 : x
  2. Step 2: Convert to fraction form
    55,744/76,926.84 = 30,593.44/x
  3. Step 3: Cross multiply
    55,744x = 76,926.84 × 30,593.44
  4. Step 4: Simplify right side
    55,744x = 2,353,456,663.93
  5. Step 5: Solve for x
    x = 2,353,456,663.93/55,744
  6. Step 6: Final answer
    x = 42,219.01

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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.