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Finding the Fourth Proportional to 29,354.50, 44,022.51 and 9,628.47

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Solution

The fourth proportional to 29,354.50, 44,022.51 and 9,628.47 is: 14,439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,354.50 : 44,022.51 = 9,628.47 : x
  2. Step 2: Convert to fraction form
    29,354.50/44,022.51 = 9,628.47/x
  3. Step 3: Cross multiply
    29,354.50x = 44,022.51 × 9,628.47
  4. Step 4: Simplify right side
    29,354.50x = 423,869,416.86
  5. Step 5: Solve for x
    x = 423,869,416.86/29,354.50
  6. Step 6: Final answer
    x = 14,439.67

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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.