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Finding the Fourth Proportional to 31,669.68, 43,702.32 and 17,521.68

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Solution

The fourth proportional to 31,669.68, 43,702.32 and 17,521.68 is: 24,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,669.68 : 43,702.32 = 17,521.68 : x
  2. Step 2: Convert to fraction form
    31,669.68/43,702.32 = 17,521.68/x
  3. Step 3: Cross multiply
    31,669.68x = 43,702.32 × 17,521.68
  4. Step 4: Simplify right side
    31,669.68x = 765,738,066.30
  5. Step 5: Solve for x
    x = 765,738,066.30/31,669.68
  6. Step 6: Final answer
    x = 24,178.90

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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.