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Finding the Fourth Proportional to 52,034.70, 77,942.70 and 43,286.70

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Solution

The fourth proportional to 52,034.70, 77,942.70 and 43,286.70 is: 64,839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,034.70 : 77,942.70 = 43,286.70 : x
  2. Step 2: Convert to fraction form
    52,034.70/77,942.70 = 43,286.70/x
  3. Step 3: Cross multiply
    52,034.70x = 77,942.70 × 43,286.70
  4. Step 4: Simplify right side
    52,034.70x = 3,373,882,272.09
  5. Step 5: Solve for x
    x = 3,373,882,272.09/52,034.70
  6. Step 6: Final answer
    x = 64,839.08

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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.