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Finding the Fourth Proportional to 71,633.74, 107,450.48 and 19,043.22

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Solution

The fourth proportional to 71,633.74, 107,450.48 and 19,043.22 is: 28,564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,633.74 : 107,450.48 = 19,043.22 : x
  2. Step 2: Convert to fraction form
    71,633.74/107,450.48 = 19,043.22/x
  3. Step 3: Cross multiply
    71,633.74x = 107,450.48 × 19,043.22
  4. Step 4: Simplify right side
    71,633.74x = 2,046,203,129.75
  5. Step 5: Solve for x
    x = 2,046,203,129.75/71,633.74
  6. Step 6: Final answer
    x = 28,564.80

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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.