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Finding the Fourth Proportional to 31,827.42, 47,754.63 and 17,032.50

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Solution

The fourth proportional to 31,827.42, 47,754.63 and 17,032.50 is: 25,555.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,827.42 : 47,754.63 = 17,032.50 : x
  2. Step 2: Convert to fraction form
    31,827.42/47,754.63 = 17,032.50/x
  3. Step 3: Cross multiply
    31,827.42x = 47,754.63 × 17,032.50
  4. Step 4: Simplify right side
    31,827.42x = 813,380,735.48
  5. Step 5: Solve for x
    x = 813,380,735.48/31,827.42
  6. Step 6: Final answer
    x = 25,555.97

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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.