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Finding the Fourth Proportional to 34,177.96, 47,170.34 and 20,035.40

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Solution

The fourth proportional to 34,177.96, 47,170.34 and 20,035.40 is: 27,651.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,177.96 : 47,170.34 = 20,035.40 : x
  2. Step 2: Convert to fraction form
    34,177.96/47,170.34 = 20,035.40/x
  3. Step 3: Cross multiply
    34,177.96x = 47,170.34 × 20,035.40
  4. Step 4: Simplify right side
    34,177.96x = 945,076,630.04
  5. Step 5: Solve for x
    x = 945,076,630.04/34,177.96
  6. Step 6: Final answer
    x = 27,651.64

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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.