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Finding the Fourth Proportional to 71,137.98, 106,766.84 and 35,588.63

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Solution

The fourth proportional to 71,137.98, 106,766.84 and 35,588.63 is: 53,412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,137.98 : 106,766.84 = 35,588.63 : x
  2. Step 2: Convert to fraction form
    71,137.98/106,766.84 = 35,588.63/x
  3. Step 3: Cross multiply
    71,137.98x = 106,766.84 × 35,588.63
  4. Step 4: Simplify right side
    71,137.98x = 3,799,685,920.92
  5. Step 5: Solve for x
    x = 3,799,685,920.92/71,137.98
  6. Step 6: Final answer
    x = 53,412.90

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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.