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Finding the Fourth Proportional to 29,786.40, 44,611.53 and 14,214.96

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Solution

The fourth proportional to 29,786.40, 44,611.53 and 14,214.96 is: 21,289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,786.40 : 44,611.53 = 14,214.96 : x
  2. Step 2: Convert to fraction form
    29,786.40/44,611.53 = 14,214.96/x
  3. Step 3: Cross multiply
    29,786.40x = 44,611.53 × 14,214.96
  4. Step 4: Simplify right side
    29,786.40x = 634,151,114.49
  5. Step 5: Solve for x
    x = 634,151,114.49/29,786.40
  6. Step 6: Final answer
    x = 21,289.95

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Why These Related Problems?

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