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Finding the Fourth Proportional to 29,457.92, 44,158.29 and 11,682.75

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Solution

The fourth proportional to 29,457.92, 44,158.29 and 11,682.75 is: 17,512.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,457.92 : 44,158.29 = 11,682.75 : x
  2. Step 2: Convert to fraction form
    29,457.92/44,158.29 = 11,682.75/x
  3. Step 3: Cross multiply
    29,457.92x = 44,158.29 × 11,682.75
  4. Step 4: Simplify right side
    29,457.92x = 515,890,262.50
  5. Step 5: Solve for x
    x = 515,890,262.50/29,457.92
  6. Step 6: Final answer
    x = 17,512.79

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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.