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Finding the Fourth Proportional to 65,302.70, 97,990.96 and 27,859.23

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Solution

The fourth proportional to 65,302.70, 97,990.96 and 27,859.23 is: 41,804.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,302.70 : 97,990.96 = 27,859.23 : x
  2. Step 2: Convert to fraction form
    65,302.70/97,990.96 = 27,859.23/x
  3. Step 3: Cross multiply
    65,302.70x = 97,990.96 × 27,859.23
  4. Step 4: Simplify right side
    65,302.70x = 2,729,952,692.56
  5. Step 5: Solve for x
    x = 2,729,952,692.56/65,302.70
  6. Step 6: Final answer
    x = 41,804.59

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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.