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Finding the Fourth Proportional to 29,977.70, 41,372.17 and 17,401.70

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Solution

The fourth proportional to 29,977.70, 41,372.17 and 17,401.70 is: 24,016.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,977.70 : 41,372.17 = 17,401.70 : x
  2. Step 2: Convert to fraction form
    29,977.70/41,372.17 = 17,401.70/x
  3. Step 3: Cross multiply
    29,977.70x = 41,372.17 × 17,401.70
  4. Step 4: Simplify right side
    29,977.70x = 719,946,090.69
  5. Step 5: Solve for x
    x = 719,946,090.69/29,977.70
  6. Step 6: Final answer
    x = 24,016.05

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1.5x scale

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.