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Finding the Fourth Proportional to 30,143.98, 41,600.36 and 16,714.95

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Solution

The fourth proportional to 30,143.98, 41,600.36 and 16,714.95 is: 23,067.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,143.98 : 41,600.36 = 16,714.95 : x
  2. Step 2: Convert to fraction form
    30,143.98/41,600.36 = 16,714.95/x
  3. Step 3: Cross multiply
    30,143.98x = 41,600.36 × 16,714.95
  4. Step 4: Simplify right side
    30,143.98x = 695,347,937.38
  5. Step 5: Solve for x
    x = 695,347,937.38/30,143.98
  6. Step 6: Final answer
    x = 23,067.56

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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.