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Finding the Fourth Proportional to 29,960, 41,344.80 and 16,712

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Solution

The fourth proportional to 29,960, 41,344.80 and 16,712 is: 23,062.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,960 : 41,344.80 = 16,712 : x
  2. Step 2: Convert to fraction form
    29,960/41,344.80 = 16,712/x
  3. Step 3: Cross multiply
    29,960x = 41,344.80 × 16,712
  4. Step 4: Simplify right side
    29,960x = 690,954,297.60
  5. Step 5: Solve for x
    x = 690,954,297.60/29,960
  6. Step 6: Final answer
    x = 23,062.56

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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.