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Finding the Fourth Proportional to 29,693.72, 44,546.54 and 9,704.56

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Solution

The fourth proportional to 29,693.72, 44,546.54 and 9,704.56 is: 14,558.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,693.72 : 44,546.54 = 9,704.56 : x
  2. Step 2: Convert to fraction form
    29,693.72/44,546.54 = 9,704.56/x
  3. Step 3: Cross multiply
    29,693.72x = 44,546.54 × 9,704.56
  4. Step 4: Simplify right side
    29,693.72x = 432,304,570.22
  5. Step 5: Solve for x
    x = 432,304,570.22/29,693.72
  6. Step 6: Final answer
    x = 14,558.79

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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.