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Finding the Fourth Proportional to 44,861, 67,291.50 and 12,029

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Solution

The fourth proportional to 44,861, 67,291.50 and 12,029 is: 18,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,861 : 67,291.50 = 12,029 : x
  2. Step 2: Convert to fraction form
    44,861/67,291.50 = 12,029/x
  3. Step 3: Cross multiply
    44,861x = 67,291.50 × 12,029
  4. Step 4: Simplify right side
    44,861x = 809,449,453.50
  5. Step 5: Solve for x
    x = 809,449,453.50/44,861
  6. Step 6: Final answer
    x = 18,043.50

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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.