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Finding the Fourth Proportional to 71,216.14, 106,814.94 and 31,764.10

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Solution

The fourth proportional to 71,216.14, 106,814.94 and 31,764.10 is: 47,642.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,216.14 : 106,814.94 = 31,764.10 : x
  2. Step 2: Convert to fraction form
    71,216.14/106,814.94 = 31,764.10/x
  3. Step 3: Cross multiply
    71,216.14x = 106,814.94 × 31,764.10
  4. Step 4: Simplify right side
    71,216.14x = 3,392,880,435.65
  5. Step 5: Solve for x
    x = 3,392,880,435.65/71,216.14
  6. Step 6: Final answer
    x = 47,642.02

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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.