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Finding the Fourth Proportional to 50,212.88, 75,241.52 and 31,706

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Solution

The fourth proportional to 50,212.88, 75,241.52 and 31,706 is: 47,509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,212.88 : 75,241.52 = 31,706 : x
  2. Step 2: Convert to fraction form
    50,212.88/75,241.52 = 31,706/x
  3. Step 3: Cross multiply
    50,212.88x = 75,241.52 × 31,706
  4. Step 4: Simplify right side
    50,212.88x = 2,385,607,633.12
  5. Step 5: Solve for x
    x = 2,385,607,633.12/50,212.88
  6. Step 6: Final answer
    x = 47,509.87

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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.