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Finding the Fourth Proportional to 71,179.75, 106,834.02 and 37,927.90

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Solution

The fourth proportional to 71,179.75, 106,834.02 and 37,927.90 is: 56,926.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,179.75 : 106,834.02 = 37,927.90 : x
  2. Step 2: Convert to fraction form
    71,179.75/106,834.02 = 37,927.90/x
  3. Step 3: Cross multiply
    71,179.75x = 106,834.02 × 37,927.90
  4. Step 4: Simplify right side
    71,179.75x = 4,051,990,027.16
  5. Step 5: Solve for x
    x = 4,051,990,027.16/71,179.75
  6. Step 6: Final answer
    x = 56,926.16

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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.