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Finding the Fourth Proportional to 43,851.32, 65,786.70 and 20,465

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Solution

The fourth proportional to 43,851.32, 65,786.70 and 20,465 is: 30,702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,851.32 : 65,786.70 = 20,465 : x
  2. Step 2: Convert to fraction form
    43,851.32/65,786.70 = 20,465/x
  3. Step 3: Cross multiply
    43,851.32x = 65,786.70 × 20,465
  4. Step 4: Simplify right side
    43,851.32x = 1,346,324,815.50
  5. Step 5: Solve for x
    x = 1,346,324,815.50/43,851.32
  6. Step 6: Final answer
    x = 30,702.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.