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Finding the Fourth Proportional to 29,953, 41,335.14 and 16,705

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Solution

The fourth proportional to 29,953, 41,335.14 and 16,705 is: 23,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,953 : 41,335.14 = 16,705 : x
  2. Step 2: Convert to fraction form
    29,953/41,335.14 = 16,705/x
  3. Step 3: Cross multiply
    29,953x = 41,335.14 × 16,705
  4. Step 4: Simplify right side
    29,953x = 690,503,513.70
  5. Step 5: Solve for x
    x = 690,503,513.70/29,953
  6. Step 6: Final answer
    x = 23,052.90

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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.