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Finding the Fourth Proportional to 71,757.01, 107,658.58 and 21,846.77

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Solution

The fourth proportional to 71,757.01, 107,658.58 and 21,846.77 is: 32,777.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,757.01 : 107,658.58 = 21,846.77 : x
  2. Step 2: Convert to fraction form
    71,757.01/107,658.58 = 21,846.77/x
  3. Step 3: Cross multiply
    71,757.01x = 107,658.58 × 21,846.77
  4. Step 4: Simplify right side
    71,757.01x = 2,351,992,235.79
  5. Step 5: Solve for x
    x = 2,351,992,235.79/71,757.01
  6. Step 6: Final answer
    x = 32,777.18

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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.