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Finding the Fourth Proportional to 30,200.13, 41,678.04 and 16,771.47

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Solution

The fourth proportional to 30,200.13, 41,678.04 and 16,771.47 is: 23,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.13 : 41,678.04 = 16,771.47 : x
  2. Step 2: Convert to fraction form
    30,200.13/41,678.04 = 16,771.47/x
  3. Step 3: Cross multiply
    30,200.13x = 41,678.04 × 16,771.47
  4. Step 4: Simplify right side
    30,200.13x = 699,001,997.52
  5. Step 5: Solve for x
    x = 699,001,997.52/30,200.13
  6. Step 6: Final answer
    x = 23,145.66

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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.