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Finding the Fourth Proportional to 65,165.44, 97,700.32 and 20,766.64

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Solution

The fourth proportional to 65,165.44, 97,700.32 and 20,766.64 is: 31,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,165.44 : 97,700.32 = 20,766.64 : x
  2. Step 2: Convert to fraction form
    65,165.44/97,700.32 = 20,766.64/x
  3. Step 3: Cross multiply
    65,165.44x = 97,700.32 × 20,766.64
  4. Step 4: Simplify right side
    65,165.44x = 2,028,907,373.32
  5. Step 5: Solve for x
    x = 2,028,907,373.32/65,165.44
  6. Step 6: Final answer
    x = 31,134.71

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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.