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Finding the Fourth Proportional to 29,712.82, 41,002.41 and 17,769.10

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Solution

The fourth proportional to 29,712.82, 41,002.41 and 17,769.10 is: 24,520.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,712.82 : 41,002.41 = 17,769.10 : x
  2. Step 2: Convert to fraction form
    29,712.82/41,002.41 = 17,769.10/x
  3. Step 3: Cross multiply
    29,712.82x = 41,002.41 × 17,769.10
  4. Step 4: Simplify right side
    29,712.82x = 728,575,923.53
  5. Step 5: Solve for x
    x = 728,575,923.53/29,712.82
  6. Step 6: Final answer
    x = 24,520.59

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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.