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Finding the Fourth Proportional to 29,576.20, 40,809.78 and 17,640.20

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Solution

The fourth proportional to 29,576.20, 40,809.78 and 17,640.20 is: 24,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,576.20 : 40,809.78 = 17,640.20 : x
  2. Step 2: Convert to fraction form
    29,576.20/40,809.78 = 17,640.20/x
  3. Step 3: Cross multiply
    29,576.20x = 40,809.78 × 17,640.20
  4. Step 4: Simplify right side
    29,576.20x = 719,892,681.16
  5. Step 5: Solve for x
    x = 719,892,681.16/29,576.20
  6. Step 6: Final answer
    x = 24,340.27

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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.