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Finding the Fourth Proportional to 29,748, 41,052.24 and 16,500

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Solution

The fourth proportional to 29,748, 41,052.24 and 16,500 is: 22,770

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,748 : 41,052.24 = 16,500 : x
  2. Step 2: Convert to fraction form
    29,748/41,052.24 = 16,500/x
  3. Step 3: Cross multiply
    29,748x = 41,052.24 × 16,500
  4. Step 4: Simplify right side
    29,748x = 677,361,960
  5. Step 5: Solve for x
    x = 677,361,960/29,748
  6. Step 6: Final answer
    x = 22,770

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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.