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Finding the Fourth Proportional to 31,521.64, 43,500 and 17,374.20

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Solution

The fourth proportional to 31,521.64, 43,500 and 17,374.20 is: 23,976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,521.64 : 43,500 = 17,374.20 : x
  2. Step 2: Convert to fraction form
    31,521.64/43,500 = 17,374.20/x
  3. Step 3: Cross multiply
    31,521.64x = 43,500 × 17,374.20
  4. Step 4: Simplify right side
    31,521.64x = 755,777,700
  5. Step 5: Solve for x
    x = 755,777,700/31,521.64
  6. Step 6: Final answer
    x = 23,976.47

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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.