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Finding the Fourth Proportional to 129,950.36, 194,932.44 and 36,463.40

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Solution

The fourth proportional to 129,950.36, 194,932.44 and 36,463.40 is: 54,697.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,950.36 : 194,932.44 = 36,463.40 : x
  2. Step 2: Convert to fraction form
    129,950.36/194,932.44 = 36,463.40/x
  3. Step 3: Cross multiply
    129,950.36x = 194,932.44 × 36,463.40
  4. Step 4: Simplify right side
    129,950.36x = 7,107,899,289.03
  5. Step 5: Solve for x
    x = 7,107,899,289.03/129,950.36
  6. Step 6: Final answer
    x = 54,697.03

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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.