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Finding the Fourth Proportional to 43,754.40, 65,631.60 and 12,164.40

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Solution

The fourth proportional to 43,754.40, 65,631.60 and 12,164.40 is: 18,246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,754.40 : 65,631.60 = 12,164.40 : x
  2. Step 2: Convert to fraction form
    43,754.40/65,631.60 = 12,164.40/x
  3. Step 3: Cross multiply
    43,754.40x = 65,631.60 × 12,164.40
  4. Step 4: Simplify right side
    43,754.40x = 798,369,035.04
  5. Step 5: Solve for x
    x = 798,369,035.04/43,754.40
  6. Step 6: Final answer
    x = 18,246.60

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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.