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Finding the Fourth Proportional to 30,950.87, 42,712.38 and 18,204.59

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Solution

The fourth proportional to 30,950.87, 42,712.38 and 18,204.59 is: 25,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.87 : 42,712.38 = 18,204.59 : x
  2. Step 2: Convert to fraction form
    30,950.87/42,712.38 = 18,204.59/x
  3. Step 3: Cross multiply
    30,950.87x = 42,712.38 × 18,204.59
  4. Step 4: Simplify right side
    30,950.87x = 777,561,301.28
  5. Step 5: Solve for x
    x = 777,561,301.28/30,950.87
  6. Step 6: Final answer
    x = 25,122.44

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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.