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Finding the Fourth Proportional to 29,545, 40,772.10 and 16,297

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Solution

The fourth proportional to 29,545, 40,772.10 and 16,297 is: 22,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,545 : 40,772.10 = 16,297 : x
  2. Step 2: Convert to fraction form
    29,545/40,772.10 = 16,297/x
  3. Step 3: Cross multiply
    29,545x = 40,772.10 × 16,297
  4. Step 4: Simplify right side
    29,545x = 664,462,913.70
  5. Step 5: Solve for x
    x = 664,462,913.70/29,545
  6. Step 6: Final answer
    x = 22,489.86

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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.