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Finding the Fourth Proportional to 29,614.40, 44,446.80 and 12,096.80

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Solution

The fourth proportional to 29,614.40, 44,446.80 and 12,096.80 is: 18,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,614.40 : 44,446.80 = 12,096.80 : x
  2. Step 2: Convert to fraction form
    29,614.40/44,446.80 = 12,096.80/x
  3. Step 3: Cross multiply
    29,614.40x = 44,446.80 × 12,096.80
  4. Step 4: Simplify right side
    29,614.40x = 537,664,050.24
  5. Step 5: Solve for x
    x = 537,664,050.24/29,614.40
  6. Step 6: Final answer
    x = 18,155.49

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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.