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Finding the Fourth Proportional to 30,819.54, 42,527.85 and 17,894.34

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Solution

The fourth proportional to 30,819.54, 42,527.85 and 17,894.34 is: 24,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,819.54 : 42,527.85 = 17,894.34 : x
  2. Step 2: Convert to fraction form
    30,819.54/42,527.85 = 17,894.34/x
  3. Step 3: Cross multiply
    30,819.54x = 42,527.85 × 17,894.34
  4. Step 4: Simplify right side
    30,819.54x = 761,007,807.37
  5. Step 5: Solve for x
    x = 761,007,807.37/30,819.54
  6. Step 6: Final answer
    x = 24,692.38

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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.