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Finding the Fourth Proportional to 29,678.21, 44,457.69 and 13,861.41

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Solution

The fourth proportional to 29,678.21, 44,457.69 and 13,861.41 is: 20,764.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,678.21 : 44,457.69 = 13,861.41 : x
  2. Step 2: Convert to fraction form
    29,678.21/44,457.69 = 13,861.41/x
  3. Step 3: Cross multiply
    29,678.21x = 44,457.69 × 13,861.41
  4. Step 4: Simplify right side
    29,678.21x = 616,246,268.74
  5. Step 5: Solve for x
    x = 616,246,268.74/29,678.21
  6. Step 6: Final answer
    x = 20,764.27

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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.