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Finding the Fourth Proportional to 73,146, 109,647.60 and 35,704.56

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Solution

The fourth proportional to 73,146, 109,647.60 and 35,704.56 is: 53,521.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,146 : 109,647.60 = 35,704.56 : x
  2. Step 2: Convert to fraction form
    73,146/109,647.60 = 35,704.56/x
  3. Step 3: Cross multiply
    73,146x = 109,647.60 × 35,704.56
  4. Step 4: Simplify right side
    73,146x = 3,914,919,313.06
  5. Step 5: Solve for x
    x = 3,914,919,313.06/73,146
  6. Step 6: Final answer
    x = 53,521.99

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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.