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Finding the Fourth Proportional to 29,302, 40,435.57 and 17,200.82

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Solution

The fourth proportional to 29,302, 40,435.57 and 17,200.82 is: 23,736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,302 : 40,435.57 = 17,200.82 : x
  2. Step 2: Convert to fraction form
    29,302/40,435.57 = 17,200.82/x
  3. Step 3: Cross multiply
    29,302x = 40,435.57 × 17,200.82
  4. Step 4: Simplify right side
    29,302x = 695,524,961.17
  5. Step 5: Solve for x
    x = 695,524,961.17/29,302
  6. Step 6: Final answer
    x = 23,736.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.