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Finding the Fourth Proportional to 31,196.81, 43,051.71 and 17,049.66

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Solution

The fourth proportional to 31,196.81, 43,051.71 and 17,049.66 is: 23,528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,196.81 : 43,051.71 = 17,049.66 : x
  2. Step 2: Convert to fraction form
    31,196.81/43,051.71 = 17,049.66/x
  3. Step 3: Cross multiply
    31,196.81x = 43,051.71 × 17,049.66
  4. Step 4: Simplify right side
    31,196.81x = 734,017,017.92
  5. Step 5: Solve for x
    x = 734,017,017.92/31,196.81
  6. Step 6: Final answer
    x = 23,528.59

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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.