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Finding the Fourth Proportional to 30,819.38, 42,530.76 and 17,393.49

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Solution

The fourth proportional to 30,819.38, 42,530.76 and 17,393.49 is: 24,003.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,819.38 : 42,530.76 = 17,393.49 : x
  2. Step 2: Convert to fraction form
    30,819.38/42,530.76 = 17,393.49/x
  3. Step 3: Cross multiply
    30,819.38x = 42,530.76 × 17,393.49
  4. Step 4: Simplify right side
    30,819.38x = 739,758,348.75
  5. Step 5: Solve for x
    x = 739,758,348.75/30,819.38
  6. Step 6: Final answer
    x = 24,003.03

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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.