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Finding the Fourth Proportional to 29,672.65, 44,509.43 and 9,682.05

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Solution

The fourth proportional to 29,672.65, 44,509.43 and 9,682.05 is: 14,523.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,672.65 : 44,509.43 = 9,682.05 : x
  2. Step 2: Convert to fraction form
    29,672.65/44,509.43 = 9,682.05/x
  3. Step 3: Cross multiply
    29,672.65x = 44,509.43 × 9,682.05
  4. Step 4: Simplify right side
    29,672.65x = 430,942,526.73
  5. Step 5: Solve for x
    x = 430,942,526.73/29,672.65
  6. Step 6: Final answer
    x = 14,523.22

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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.