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Finding the Fourth Proportional to 34,560.42, 47,693.52 and 20,414.22

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Solution

The fourth proportional to 34,560.42, 47,693.52 and 20,414.22 is: 28,171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,560.42 : 47,693.52 = 20,414.22 : x
  2. Step 2: Convert to fraction form
    34,560.42/47,693.52 = 20,414.22/x
  3. Step 3: Cross multiply
    34,560.42x = 47,693.52 × 20,414.22
  4. Step 4: Simplify right side
    34,560.42x = 973,626,009.85
  5. Step 5: Solve for x
    x = 973,626,009.85/34,560.42
  6. Step 6: Final answer
    x = 28,171.71

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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.