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Finding the Fourth Proportional to 29,731.52, 41,033.04 and 17,156

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Solution

The fourth proportional to 29,731.52, 41,033.04 and 17,156 is: 23,677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,731.52 : 41,033.04 = 17,156 : x
  2. Step 2: Convert to fraction form
    29,731.52/41,033.04 = 17,156/x
  3. Step 3: Cross multiply
    29,731.52x = 41,033.04 × 17,156
  4. Step 4: Simplify right side
    29,731.52x = 703,962,834.24
  5. Step 5: Solve for x
    x = 703,962,834.24/29,731.52
  6. Step 6: Final answer
    x = 23,677.32

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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.