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Finding the Fourth Proportional to 45,907.40, 68,861.10 and 31,910.60

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Solution

The fourth proportional to 45,907.40, 68,861.10 and 31,910.60 is: 47,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,907.40 : 68,861.10 = 31,910.60 : x
  2. Step 2: Convert to fraction form
    45,907.40/68,861.10 = 31,910.60/x
  3. Step 3: Cross multiply
    45,907.40x = 68,861.10 × 31,910.60
  4. Step 4: Simplify right side
    45,907.40x = 2,197,399,017.66
  5. Step 5: Solve for x
    x = 2,197,399,017.66/45,907.40
  6. Step 6: Final answer
    x = 47,865.90

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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.