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Finding the Fourth Proportional to 32,755.80, 49,144.07 and 11,695.38

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Solution

The fourth proportional to 32,755.80, 49,144.07 and 11,695.38 is: 17,546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,755.80 : 49,144.07 = 11,695.38 : x
  2. Step 2: Convert to fraction form
    32,755.80/49,144.07 = 11,695.38/x
  3. Step 3: Cross multiply
    32,755.80x = 49,144.07 × 11,695.38
  4. Step 4: Simplify right side
    32,755.80x = 574,758,573.40
  5. Step 5: Solve for x
    x = 574,758,573.40/32,755.80
  6. Step 6: Final answer
    x = 17,546.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.