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Finding the Fourth Proportional to 31,028.04, 42,819.12 and 17,599

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Solution

The fourth proportional to 31,028.04, 42,819.12 and 17,599 is: 24,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,028.04 : 42,819.12 = 17,599 : x
  2. Step 2: Convert to fraction form
    31,028.04/42,819.12 = 17,599/x
  3. Step 3: Cross multiply
    31,028.04x = 42,819.12 × 17,599
  4. Step 4: Simplify right side
    31,028.04x = 753,573,692.88
  5. Step 5: Solve for x
    x = 753,573,692.88/31,028.04
  6. Step 6: Final answer
    x = 24,286.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.