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Finding the Fourth Proportional to 30,203.87, 41,678.30 and 17,635.91

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Solution

The fourth proportional to 30,203.87, 41,678.30 and 17,635.91 is: 24,335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,203.87 : 41,678.30 = 17,635.91 : x
  2. Step 2: Convert to fraction form
    30,203.87/41,678.30 = 17,635.91/x
  3. Step 3: Cross multiply
    30,203.87x = 41,678.30 × 17,635.91
  4. Step 4: Simplify right side
    30,203.87x = 735,034,659.57
  5. Step 5: Solve for x
    x = 735,034,659.57/30,203.87
  6. Step 6: Final answer
    x = 24,335.78

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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.