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Finding the Fourth Proportional to 76,951.89, 106,193.19 and 42,958.41

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Solution

The fourth proportional to 76,951.89, 106,193.19 and 42,958.41 is: 59,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,951.89 : 106,193.19 = 42,958.41 : x
  2. Step 2: Convert to fraction form
    76,951.89/106,193.19 = 42,958.41/x
  3. Step 3: Cross multiply
    76,951.89x = 106,193.19 × 42,958.41
  4. Step 4: Simplify right side
    76,951.89x = 4,561,890,595.23
  5. Step 5: Solve for x
    x = 4,561,890,595.23/76,951.89
  6. Step 6: Final answer
    x = 59,282.37

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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.