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Finding the Fourth Proportional to 71,327.80, 106,931.49 and 44,974.45

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Solution

The fourth proportional to 71,327.80, 106,931.49 and 44,974.45 is: 67,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,327.80 : 106,931.49 = 44,974.45 : x
  2. Step 2: Convert to fraction form
    71,327.80/106,931.49 = 44,974.45/x
  3. Step 3: Cross multiply
    71,327.80x = 106,931.49 × 44,974.45
  4. Step 4: Simplify right side
    71,327.80x = 4,809,184,950.43
  5. Step 5: Solve for x
    x = 4,809,184,950.43/71,327.80
  6. Step 6: Final answer
    x = 67,423.71

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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.