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Finding the Fourth Proportional to 47,416.20, 65,404.46 and 30,402.56

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Solution

The fourth proportional to 47,416.20, 65,404.46 and 30,402.56 is: 41,936.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,416.20 : 65,404.46 = 30,402.56 : x
  2. Step 2: Convert to fraction form
    47,416.20/65,404.46 = 30,402.56/x
  3. Step 3: Cross multiply
    47,416.20x = 65,404.46 × 30,402.56
  4. Step 4: Simplify right side
    47,416.20x = 1,988,463,019.42
  5. Step 5: Solve for x
    x = 1,988,463,019.42/47,416.20
  6. Step 6: Final answer
    x = 41,936.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.