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Finding the Fourth Proportional to 50,813.63, 76,206.05 and 32,065.57

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Solution

The fourth proportional to 50,813.63, 76,206.05 and 32,065.57 is: 48,089.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,813.63 : 76,206.05 = 32,065.57 : x
  2. Step 2: Convert to fraction form
    50,813.63/76,206.05 = 32,065.57/x
  3. Step 3: Cross multiply
    50,813.63x = 76,206.05 × 32,065.57
  4. Step 4: Simplify right side
    50,813.63x = 2,443,590,485.87
  5. Step 5: Solve for x
    x = 2,443,590,485.87/50,813.63
  6. Step 6: Final answer
    x = 48,089.27

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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.