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Finding the Fourth Proportional to 65,205.70, 97,809.27 and 20,832.10

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Solution

The fourth proportional to 65,205.70, 97,809.27 and 20,832.10 is: 31,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205.70 : 97,809.27 = 20,832.10 : x
  2. Step 2: Convert to fraction form
    65,205.70/97,809.27 = 20,832.10/x
  3. Step 3: Cross multiply
    65,205.70x = 97,809.27 × 20,832.10
  4. Step 4: Simplify right side
    65,205.70x = 2,037,572,493.57
  5. Step 5: Solve for x
    x = 2,037,572,493.57/65,205.70
  6. Step 6: Final answer
    x = 31,248.38

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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.