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Finding the Fourth Proportional to 71,674.54, 107,525.40 and 23,646.05

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Solution

The fourth proportional to 71,674.54, 107,525.40 and 23,646.05 is: 35,473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,674.54 : 107,525.40 = 23,646.05 : x
  2. Step 2: Convert to fraction form
    71,674.54/107,525.40 = 23,646.05/x
  3. Step 3: Cross multiply
    71,674.54x = 107,525.40 × 23,646.05
  4. Step 4: Simplify right side
    71,674.54x = 2,542,550,761.59
  5. Step 5: Solve for x
    x = 2,542,550,761.59/71,674.54
  6. Step 6: Final answer
    x = 35,473.56

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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.