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Finding the Fourth Proportional to 43,614.48, 65,412 and 20,228.16

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Solution

The fourth proportional to 43,614.48, 65,412 and 20,228.16 is: 30,337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,614.48 : 65,412 = 20,228.16 : x
  2. Step 2: Convert to fraction form
    43,614.48/65,412 = 20,228.16/x
  3. Step 3: Cross multiply
    43,614.48x = 65,412 × 20,228.16
  4. Step 4: Simplify right side
    43,614.48x = 1,323,164,401.92
  5. Step 5: Solve for x
    x = 1,323,164,401.92/43,614.48
  6. Step 6: Final answer
    x = 30,337.73

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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.