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Finding the Fourth Proportional to 71,709.94, 107,578.59 and 27,332.98

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Solution

The fourth proportional to 71,709.94, 107,578.59 and 27,332.98 is: 41,004.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,709.94 : 107,578.59 = 27,332.98 : x
  2. Step 2: Convert to fraction form
    71,709.94/107,578.59 = 27,332.98/x
  3. Step 3: Cross multiply
    71,709.94x = 107,578.59 × 27,332.98
  4. Step 4: Simplify right side
    71,709.94x = 2,940,443,448.90
  5. Step 5: Solve for x
    x = 2,940,443,448.90/71,709.94
  6. Step 6: Final answer
    x = 41,004.68

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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.