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Finding the Fourth Proportional to 50,369.07, 75,710.49 and 31,768.64

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Solution

The fourth proportional to 50,369.07, 75,710.49 and 31,768.64 is: 47,751.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,369.07 : 75,710.49 = 31,768.64 : x
  2. Step 2: Convert to fraction form
    50,369.07/75,710.49 = 31,768.64/x
  3. Step 3: Cross multiply
    50,369.07x = 75,710.49 × 31,768.64
  4. Step 4: Simplify right side
    50,369.07x = 2,405,219,301.03
  5. Step 5: Solve for x
    x = 2,405,219,301.03/50,369.07
  6. Step 6: Final answer
    x = 47,751.91

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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.