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Finding the Fourth Proportional to 30,275, 41,782.06 and 17,029.56

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Solution

The fourth proportional to 30,275, 41,782.06 and 17,029.56 is: 23,502.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,275 : 41,782.06 = 17,029.56 : x
  2. Step 2: Convert to fraction form
    30,275/41,782.06 = 17,029.56/x
  3. Step 3: Cross multiply
    30,275x = 41,782.06 × 17,029.56
  4. Step 4: Simplify right side
    30,275x = 711,530,097.69
  5. Step 5: Solve for x
    x = 711,530,097.69/30,275
  6. Step 6: Final answer
    x = 23,502.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.