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Finding the Fourth Proportional to 30,433.46, 45,651.53 and 11,706.80

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Solution

The fourth proportional to 30,433.46, 45,651.53 and 11,706.80 is: 17,560.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,433.46 : 45,651.53 = 11,706.80 : x
  2. Step 2: Convert to fraction form
    30,433.46/45,651.53 = 11,706.80/x
  3. Step 3: Cross multiply
    30,433.46x = 45,651.53 × 11,706.80
  4. Step 4: Simplify right side
    30,433.46x = 534,433,132.41
  5. Step 5: Solve for x
    x = 534,433,132.41/30,433.46
  6. Step 6: Final answer
    x = 17,560.71

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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.