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Finding the Fourth Proportional to 30,324.90, 41,851.44 and 16,898.34

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Solution

The fourth proportional to 30,324.90, 41,851.44 and 16,898.34 is: 23,321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,324.90 : 41,851.44 = 16,898.34 : x
  2. Step 2: Convert to fraction form
    30,324.90/41,851.44 = 16,898.34/x
  3. Step 3: Cross multiply
    30,324.90x = 41,851.44 × 16,898.34
  4. Step 4: Simplify right side
    30,324.90x = 707,219,862.61
  5. Step 5: Solve for x
    x = 707,219,862.61/30,324.90
  6. Step 6: Final answer
    x = 23,321.42

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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.