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Finding the Fourth Proportional to 50,533.95, 75,717.50 and 30,752.67

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Solution

The fourth proportional to 50,533.95, 75,717.50 and 30,752.67 is: 46,078.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,533.95 : 75,717.50 = 30,752.67 : x
  2. Step 2: Convert to fraction form
    50,533.95/75,717.50 = 30,752.67/x
  3. Step 3: Cross multiply
    50,533.95x = 75,717.50 × 30,752.67
  4. Step 4: Simplify right side
    50,533.95x = 2,328,515,136.96
  5. Step 5: Solve for x
    x = 2,328,515,136.96/50,533.95
  6. Step 6: Final answer
    x = 46,078.23

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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.