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Finding the Fourth Proportional to 65,232.37, 97,865.85 and 20,859.94

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Solution

The fourth proportional to 65,232.37, 97,865.85 and 20,859.94 is: 31,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,232.37 : 97,865.85 = 20,859.94 : x
  2. Step 2: Convert to fraction form
    65,232.37/97,865.85 = 20,859.94/x
  3. Step 3: Cross multiply
    65,232.37x = 97,865.85 × 20,859.94
  4. Step 4: Simplify right side
    65,232.37x = 2,041,475,759.05
  5. Step 5: Solve for x
    x = 2,041,475,759.05/65,232.37
  6. Step 6: Final answer
    x = 31,295.44

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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.