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Finding the Fourth Proportional to 30,227.25, 41,710.29 and 17,478.51

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Solution

The fourth proportional to 30,227.25, 41,710.29 and 17,478.51 is: 24,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,227.25 : 41,710.29 = 17,478.51 : x
  2. Step 2: Convert to fraction form
    30,227.25/41,710.29 = 17,478.51/x
  3. Step 3: Cross multiply
    30,227.25x = 41,710.29 × 17,478.51
  4. Step 4: Simplify right side
    30,227.25x = 729,033,714.54
  5. Step 5: Solve for x
    x = 729,033,714.54/30,227.25
  6. Step 6: Final answer
    x = 24,118.43

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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.