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Finding the Fourth Proportional to 34,176.96, 47,168.96 and 20,034.40

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Solution

The fourth proportional to 34,176.96, 47,168.96 and 20,034.40 is: 27,650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,176.96 : 47,168.96 = 20,034.40 : x
  2. Step 2: Convert to fraction form
    34,176.96/47,168.96 = 20,034.40/x
  3. Step 3: Cross multiply
    34,176.96x = 47,168.96 × 20,034.40
  4. Step 4: Simplify right side
    34,176.96x = 945,001,812.22
  5. Step 5: Solve for x
    x = 945,001,812.22/34,176.96
  6. Step 6: Final answer
    x = 27,650.26

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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.