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Finding the Fourth Proportional to 65,217.70, 97,813.72 and 20,832.49

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Solution

The fourth proportional to 65,217.70, 97,813.72 and 20,832.49 is: 31,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,217.70 : 97,813.72 = 20,832.49 : x
  2. Step 2: Convert to fraction form
    65,217.70/97,813.72 = 20,832.49/x
  3. Step 3: Cross multiply
    65,217.70x = 97,813.72 × 20,832.49
  4. Step 4: Simplify right side
    65,217.70x = 2,037,703,343.76
  5. Step 5: Solve for x
    x = 2,037,703,343.76/65,217.70
  6. Step 6: Final answer
    x = 31,244.64

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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.