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Finding the Fourth Proportional to 32,754.29, 49,141.82 and 11,693.88

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Solution

The fourth proportional to 32,754.29, 49,141.82 and 11,693.88 is: 17,544.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,754.29 : 49,141.82 = 11,693.88 : x
  2. Step 2: Convert to fraction form
    32,754.29/49,141.82 = 11,693.88/x
  3. Step 3: Cross multiply
    32,754.29x = 49,141.82 × 11,693.88
  4. Step 4: Simplify right side
    32,754.29x = 574,658,546.06
  5. Step 5: Solve for x
    x = 574,658,546.06/32,754.29
  6. Step 6: Final answer
    x = 17,544.53

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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.