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Finding the Fourth Proportional to 31,832, 43,924.20 and 17,683.04

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Solution

The fourth proportional to 31,832, 43,924.20 and 17,683.04 is: 24,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832 : 43,924.20 = 17,683.04 : x
  2. Step 2: Convert to fraction form
    31,832/43,924.20 = 17,683.04/x
  3. Step 3: Cross multiply
    31,832x = 43,924.20 × 17,683.04
  4. Step 4: Simplify right side
    31,832x = 776,713,385.57
  5. Step 5: Solve for x
    x = 776,713,385.57/31,832
  6. Step 6: Final answer
    x = 24,400.40

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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.