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Finding the Fourth Proportional to 29,906.50, 41,271 and 17,338.54

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Solution

The fourth proportional to 29,906.50, 41,271 and 17,338.54 is: 23,927.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,906.50 : 41,271 = 17,338.54 : x
  2. Step 2: Convert to fraction form
    29,906.50/41,271 = 17,338.54/x
  3. Step 3: Cross multiply
    29,906.50x = 41,271 × 17,338.54
  4. Step 4: Simplify right side
    29,906.50x = 715,578,884.34
  5. Step 5: Solve for x
    x = 715,578,884.34/29,906.50
  6. Step 6: Final answer
    x = 23,927.20

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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.