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Finding the Fourth Proportional to 49,209.50, 73,826.56 and 14,149.16

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Solution

The fourth proportional to 49,209.50, 73,826.56 and 14,149.16 is: 21,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,209.50 : 73,826.56 = 14,149.16 : x
  2. Step 2: Convert to fraction form
    49,209.50/73,826.56 = 14,149.16/x
  3. Step 3: Cross multiply
    49,209.50x = 73,826.56 × 14,149.16
  4. Step 4: Simplify right side
    49,209.50x = 1,044,583,809.69
  5. Step 5: Solve for x
    x = 1,044,583,809.69/49,209.50
  6. Step 6: Final answer
    x = 21,227.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.