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Finding the Fourth Proportional to 71,250.76, 106,900.70 and 31,835.08

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Solution

The fourth proportional to 71,250.76, 106,900.70 and 31,835.08 is: 47,763.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,250.76 : 106,900.70 = 31,835.08 : x
  2. Step 2: Convert to fraction form
    71,250.76/106,900.70 = 31,835.08/x
  3. Step 3: Cross multiply
    71,250.76x = 106,900.70 × 31,835.08
  4. Step 4: Simplify right side
    71,250.76x = 3,403,192,336.56
  5. Step 5: Solve for x
    x = 3,403,192,336.56/71,250.76
  6. Step 6: Final answer
    x = 47,763.59

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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.