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Finding the Fourth Proportional to 71,167.58, 106,739.27 and 23,777.30

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Solution

The fourth proportional to 71,167.58, 106,739.27 and 23,777.30 is: 35,661.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,167.58 : 106,739.27 = 23,777.30 : x
  2. Step 2: Convert to fraction form
    71,167.58/106,739.27 = 23,777.30/x
  3. Step 3: Cross multiply
    71,167.58x = 106,739.27 × 23,777.30
  4. Step 4: Simplify right side
    71,167.58x = 2,537,971,525.68
  5. Step 5: Solve for x
    x = 2,537,971,525.68/71,167.58
  6. Step 6: Final answer
    x = 35,661.91

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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.