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Finding the Fourth Proportional to 29,578.46, 40,813.01 and 16,829.61

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Solution

The fourth proportional to 29,578.46, 40,813.01 and 16,829.61 is: 23,221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,578.46 : 40,813.01 = 16,829.61 : x
  2. Step 2: Convert to fraction form
    29,578.46/40,813.01 = 16,829.61/x
  3. Step 3: Cross multiply
    29,578.46x = 40,813.01 × 16,829.61
  4. Step 4: Simplify right side
    29,578.46x = 686,866,957.08
  5. Step 5: Solve for x
    x = 686,866,957.08/29,578.46
  6. Step 6: Final answer
    x = 23,221.87

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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.