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Finding the Fourth Proportional to 29,813, 44,740.56 and 14,231.84

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Solution

The fourth proportional to 29,813, 44,740.56 and 14,231.84 is: 21,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,813 : 44,740.56 = 14,231.84 : x
  2. Step 2: Convert to fraction form
    29,813/44,740.56 = 14,231.84/x
  3. Step 3: Cross multiply
    29,813x = 44,740.56 × 14,231.84
  4. Step 4: Simplify right side
    29,813x = 636,740,491.43
  5. Step 5: Solve for x
    x = 636,740,491.43/29,813
  6. Step 6: Final answer
    x = 21,357.81

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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.