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Finding the Fourth Proportional to 51,915.87, 71,675.03 and 34,042.05

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Solution

The fourth proportional to 51,915.87, 71,675.03 and 34,042.05 is: 46,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,915.87 : 71,675.03 = 34,042.05 : x
  2. Step 2: Convert to fraction form
    51,915.87/71,675.03 = 34,042.05/x
  3. Step 3: Cross multiply
    51,915.87x = 71,675.03 × 34,042.05
  4. Step 4: Simplify right side
    51,915.87x = 2,439,964,784.80
  5. Step 5: Solve for x
    x = 2,439,964,784.80/51,915.87
  6. Step 6: Final answer
    x = 46,998.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.