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Finding the Fourth Proportional to 71,782.69, 107,674.94 and 25,035.56

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Solution

The fourth proportional to 71,782.69, 107,674.94 and 25,035.56 is: 37,553.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,782.69 : 107,674.94 = 25,035.56 : x
  2. Step 2: Convert to fraction form
    71,782.69/107,674.94 = 25,035.56/x
  3. Step 3: Cross multiply
    71,782.69x = 107,674.94 × 25,035.56
  4. Step 4: Simplify right side
    71,782.69x = 2,695,702,752.64
  5. Step 5: Solve for x
    x = 2,695,702,752.64/71,782.69
  6. Step 6: Final answer
    x = 37,553.66

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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.