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Finding the Fourth Proportional to 51,734.07, 71,420.22 and 34,827.21

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Solution

The fourth proportional to 51,734.07, 71,420.22 and 34,827.21 is: 48,079.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,734.07 : 71,420.22 = 34,827.21 : x
  2. Step 2: Convert to fraction form
    51,734.07/71,420.22 = 34,827.21/x
  3. Step 3: Cross multiply
    51,734.07x = 71,420.22 × 34,827.21
  4. Step 4: Simplify right side
    51,734.07x = 2,487,367,000.19
  5. Step 5: Solve for x
    x = 2,487,367,000.19/51,734.07
  6. Step 6: Final answer
    x = 48,079.86

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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.