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Finding the Fourth Proportional to 71,803.14, 107,750.79 and 34,846.98

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Solution

The fourth proportional to 71,803.14, 107,750.79 and 34,846.98 is: 52,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,803.14 : 107,750.79 = 34,846.98 : x
  2. Step 2: Convert to fraction form
    71,803.14/107,750.79 = 34,846.98/x
  3. Step 3: Cross multiply
    71,803.14x = 107,750.79 × 34,846.98
  4. Step 4: Simplify right side
    71,803.14x = 3,754,789,624.11
  5. Step 5: Solve for x
    x = 3,754,789,624.11/71,803.14
  6. Step 6: Final answer
    x = 52,292.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.