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Finding the Fourth Proportional to 71,314.60, 106,971.90 and 44,933.80

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Solution

The fourth proportional to 71,314.60, 106,971.90 and 44,933.80 is: 67,400.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,314.60 : 106,971.90 = 44,933.80 : x
  2. Step 2: Convert to fraction form
    71,314.60/106,971.90 = 44,933.80/x
  3. Step 3: Cross multiply
    71,314.60x = 106,971.90 × 44,933.80
  4. Step 4: Simplify right side
    71,314.60x = 4,806,653,960.22
  5. Step 5: Solve for x
    x = 4,806,653,960.22/71,314.60
  6. Step 6: Final answer
    x = 67,400.70

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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.