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Finding the Fourth Proportional to 29,736, 41,035.68 and 16,488

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Solution

The fourth proportional to 29,736, 41,035.68 and 16,488 is: 22,753.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,736 : 41,035.68 = 16,488 : x
  2. Step 2: Convert to fraction form
    29,736/41,035.68 = 16,488/x
  3. Step 3: Cross multiply
    29,736x = 41,035.68 × 16,488
  4. Step 4: Simplify right side
    29,736x = 676,596,291.84
  5. Step 5: Solve for x
    x = 676,596,291.84/29,736
  6. Step 6: Final answer
    x = 22,753.44

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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.