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Finding the Fourth Proportional to 76,596.68, 105,701.92 and 42,604.44

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Solution

The fourth proportional to 76,596.68, 105,701.92 and 42,604.44 is: 58,793.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,596.68 : 105,701.92 = 42,604.44 : x
  2. Step 2: Convert to fraction form
    76,596.68/105,701.92 = 42,604.44/x
  3. Step 3: Cross multiply
    76,596.68x = 105,701.92 × 42,604.44
  4. Step 4: Simplify right side
    76,596.68x = 4,503,371,108.52
  5. Step 5: Solve for x
    x = 4,503,371,108.52/76,596.68
  6. Step 6: Final answer
    x = 58,793.29

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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.