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Finding the Fourth Proportional to 29,839.16, 41,177.22 and 16,410.42

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Solution

The fourth proportional to 29,839.16, 41,177.22 and 16,410.42 is: 22,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,839.16 : 41,177.22 = 16,410.42 : x
  2. Step 2: Convert to fraction form
    29,839.16/41,177.22 = 16,410.42/x
  3. Step 3: Cross multiply
    29,839.16x = 41,177.22 × 16,410.42
  4. Step 4: Simplify right side
    29,839.16x = 675,735,474.63
  5. Step 5: Solve for x
    x = 675,735,474.63/29,839.16
  6. Step 6: Final answer
    x = 22,645.93

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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.