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Finding the Fourth Proportional to 30,142.38, 41,596.98 and 16,714.20

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Solution

The fourth proportional to 30,142.38, 41,596.98 and 16,714.20 is: 23,065.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.38 : 41,596.98 = 16,714.20 : x
  2. Step 2: Convert to fraction form
    30,142.38/41,596.98 = 16,714.20/x
  3. Step 3: Cross multiply
    30,142.38x = 41,596.98 × 16,714.20
  4. Step 4: Simplify right side
    30,142.38x = 695,260,243.12
  5. Step 5: Solve for x
    x = 695,260,243.12/30,142.38
  6. Step 6: Final answer
    x = 23,065.87

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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.