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Finding the Fourth Proportional to 29,576.48, 40,815 and 16,829.39

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Solution

The fourth proportional to 29,576.48, 40,815 and 16,829.39 is: 23,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,576.48 : 40,815 = 16,829.39 : x
  2. Step 2: Convert to fraction form
    29,576.48/40,815 = 16,829.39/x
  3. Step 3: Cross multiply
    29,576.48x = 40,815 × 16,829.39
  4. Step 4: Simplify right side
    29,576.48x = 686,891,348.78
  5. Step 5: Solve for x
    x = 686,891,348.78/29,576.48
  6. Step 6: Final answer
    x = 23,224.25

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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.