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Finding the Fourth Proportional to 29,706.71, 40,991.36 and 17,765.69

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Solution

The fourth proportional to 29,706.71, 40,991.36 and 17,765.69 is: 24,514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706.71 : 40,991.36 = 17,765.69 : x
  2. Step 2: Convert to fraction form
    29,706.71/40,991.36 = 17,765.69/x
  3. Step 3: Cross multiply
    29,706.71x = 40,991.36 × 17,765.69
  4. Step 4: Simplify right side
    29,706.71x = 728,239,500.65
  5. Step 5: Solve for x
    x = 728,239,500.65/29,706.71
  6. Step 6: Final answer
    x = 24,514.31

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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.