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Finding the Fourth Proportional to 31,596.57, 43,603.16 and 17,449.29

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Solution

The fourth proportional to 31,596.57, 43,603.16 and 17,449.29 is: 24,079.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,596.57 : 43,603.16 = 17,449.29 : x
  2. Step 2: Convert to fraction form
    31,596.57/43,603.16 = 17,449.29/x
  3. Step 3: Cross multiply
    31,596.57x = 43,603.16 × 17,449.29
  4. Step 4: Simplify right side
    31,596.57x = 760,844,096.51
  5. Step 5: Solve for x
    x = 760,844,096.51/31,596.57
  6. Step 6: Final answer
    x = 24,079.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.