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Finding the Fourth Proportional to 30,195.46, 45,282.41 and 12,420.92

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Solution

The fourth proportional to 30,195.46, 45,282.41 and 12,420.92 is: 18,626.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,195.46 : 45,282.41 = 12,420.92 : x
  2. Step 2: Convert to fraction form
    30,195.46/45,282.41 = 12,420.92/x
  3. Step 3: Cross multiply
    30,195.46x = 45,282.41 × 12,420.92
  4. Step 4: Simplify right side
    30,195.46x = 562,449,129.91
  5. Step 5: Solve for x
    x = 562,449,129.91/30,195.46
  6. Step 6: Final answer
    x = 18,626.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.