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Finding the Fourth Proportional to 65,104.20, 97,721.10 and 31,861.80

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Solution

The fourth proportional to 65,104.20, 97,721.10 and 31,861.80 is: 47,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,104.20 : 97,721.10 = 31,861.80 : x
  2. Step 2: Convert to fraction form
    65,104.20/97,721.10 = 31,861.80/x
  3. Step 3: Cross multiply
    65,104.20x = 97,721.10 × 31,861.80
  4. Step 4: Simplify right side
    65,104.20x = 3,113,570,143.98
  5. Step 5: Solve for x
    x = 3,113,570,143.98/65,104.20
  6. Step 6: Final answer
    x = 47,824.41

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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.