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Finding the Fourth Proportional to 76,311.14, 105,306.44 and 42,321.02

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Solution

The fourth proportional to 76,311.14, 105,306.44 and 42,321.02 is: 58,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,311.14 : 105,306.44 = 42,321.02 : x
  2. Step 2: Convert to fraction form
    76,311.14/105,306.44 = 42,321.02/x
  3. Step 3: Cross multiply
    76,311.14x = 105,306.44 × 42,321.02
  4. Step 4: Simplify right side
    76,311.14x = 4,456,675,953.37
  5. Step 5: Solve for x
    x = 4,456,675,953.37/76,311.14
  6. Step 6: Final answer
    x = 58,401.38

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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.