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Finding the Fourth Proportional to 50,751.72, 76,214.70 and 31,145.40

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Solution

The fourth proportional to 50,751.72, 76,214.70 and 31,145.40 is: 46,771.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,751.72 : 76,214.70 = 31,145.40 : x
  2. Step 2: Convert to fraction form
    50,751.72/76,214.70 = 31,145.40/x
  3. Step 3: Cross multiply
    50,751.72x = 76,214.70 × 31,145.40
  4. Step 4: Simplify right side
    50,751.72x = 2,373,737,317.38
  5. Step 5: Solve for x
    x = 2,373,737,317.38/50,751.72
  6. Step 6: Final answer
    x = 46,771.56

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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.