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Finding the Fourth Proportional to 34,454.57, 47,512.32 and 32,445.48

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Solution

The fourth proportional to 34,454.57, 47,512.32 and 32,445.48 is: 44,741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,454.57 : 47,512.32 = 32,445.48 : x
  2. Step 2: Convert to fraction form
    34,454.57/47,512.32 = 32,445.48/x
  3. Step 3: Cross multiply
    34,454.57x = 47,512.32 × 32,445.48
  4. Step 4: Simplify right side
    34,454.57x = 1,541,560,000.06
  5. Step 5: Solve for x
    x = 1,541,560,000.06/34,454.57
  6. Step 6: Final answer
    x = 44,741.82

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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.