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Finding the Fourth Proportional to 31,500.96, 43,472.12 and 17,161.28

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Solution

The fourth proportional to 31,500.96, 43,472.12 and 17,161.28 is: 23,683.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,500.96 : 43,472.12 = 17,161.28 : x
  2. Step 2: Convert to fraction form
    31,500.96/43,472.12 = 17,161.28/x
  3. Step 3: Cross multiply
    31,500.96x = 43,472.12 × 17,161.28
  4. Step 4: Simplify right side
    31,500.96x = 746,037,223.51
  5. Step 5: Solve for x
    x = 746,037,223.51/31,500.96
  6. Step 6: Final answer
    x = 23,683.00

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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.