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Finding the Fourth Proportional to 29,842.96, 44,764.46 and 14,213.20

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Solution

The fourth proportional to 29,842.96, 44,764.46 and 14,213.20 is: 21,319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,842.96 : 44,764.46 = 14,213.20 : x
  2. Step 2: Convert to fraction form
    29,842.96/44,764.46 = 14,213.20/x
  3. Step 3: Cross multiply
    29,842.96x = 44,764.46 × 14,213.20
  4. Step 4: Simplify right side
    29,842.96x = 636,246,222.87
  5. Step 5: Solve for x
    x = 636,246,222.87/29,842.96
  6. Step 6: Final answer
    x = 21,319.81

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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.