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Finding the Fourth Proportional to 43,475.70, 65,238.14 and 20,102.14

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Solution

The fourth proportional to 43,475.70, 65,238.14 and 20,102.14 is: 30,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,475.70 : 65,238.14 = 20,102.14 : x
  2. Step 2: Convert to fraction form
    43,475.70/65,238.14 = 20,102.14/x
  3. Step 3: Cross multiply
    43,475.70x = 65,238.14 × 20,102.14
  4. Step 4: Simplify right side
    43,475.70x = 1,311,426,355.42
  5. Step 5: Solve for x
    x = 1,311,426,355.42/43,475.70
  6. Step 6: Final answer
    x = 30,164.58

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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.