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Finding the Fourth Proportional to 51,769.99, 71,425.41 and 42,193.41

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Solution

The fourth proportional to 51,769.99, 71,425.41 and 42,193.41 is: 58,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,769.99 : 71,425.41 = 42,193.41 : x
  2. Step 2: Convert to fraction form
    51,769.99/71,425.41 = 42,193.41/x
  3. Step 3: Cross multiply
    51,769.99x = 71,425.41 × 42,193.41
  4. Step 4: Simplify right side
    51,769.99x = 3,013,681,397.58
  5. Step 5: Solve for x
    x = 3,013,681,397.58/51,769.99
  6. Step 6: Final answer
    x = 58,212.90

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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.