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Finding the Fourth Proportional to 30,046.68, 41,467.53 and 17,300.31

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Solution

The fourth proportional to 30,046.68, 41,467.53 and 17,300.31 is: 23,876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,046.68 : 41,467.53 = 17,300.31 : x
  2. Step 2: Convert to fraction form
    30,046.68/41,467.53 = 17,300.31/x
  3. Step 3: Cross multiply
    30,046.68x = 41,467.53 × 17,300.31
  4. Step 4: Simplify right side
    30,046.68x = 717,401,123.93
  5. Step 5: Solve for x
    x = 717,401,123.93/30,046.68
  6. Step 6: Final answer
    x = 23,876.22

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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.