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Finding the Fourth Proportional to 34,792.70, 47,982.24 and 29,426.38

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Solution

The fourth proportional to 34,792.70, 47,982.24 and 29,426.38 is: 40,581.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,792.70 : 47,982.24 = 29,426.38 : x
  2. Step 2: Convert to fraction form
    34,792.70/47,982.24 = 29,426.38/x
  3. Step 3: Cross multiply
    34,792.70x = 47,982.24 × 29,426.38
  4. Step 4: Simplify right side
    34,792.70x = 1,411,943,507.54
  5. Step 5: Solve for x
    x = 1,411,943,507.54/34,792.70
  6. Step 6: Final answer
    x = 40,581.61

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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.