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Finding the Fourth Proportional to 29,740.71, 41,042.25 and 17,165.46

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Solution

The fourth proportional to 29,740.71, 41,042.25 and 17,165.46 is: 23,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,740.71 : 41,042.25 = 17,165.46 : x
  2. Step 2: Convert to fraction form
    29,740.71/41,042.25 = 17,165.46/x
  3. Step 3: Cross multiply
    29,740.71x = 41,042.25 × 17,165.46
  4. Step 4: Simplify right side
    29,740.71x = 704,509,100.69
  5. Step 5: Solve for x
    x = 704,509,100.69/29,740.71
  6. Step 6: Final answer
    x = 23,688.38

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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.