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Finding the Fourth Proportional to 50,782.60, 76,223.02 and 24,505.80

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Solution

The fourth proportional to 50,782.60, 76,223.02 and 24,505.80 is: 36,782.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,782.60 : 76,223.02 = 24,505.80 : x
  2. Step 2: Convert to fraction form
    50,782.60/76,223.02 = 24,505.80/x
  3. Step 3: Cross multiply
    50,782.60x = 76,223.02 × 24,505.80
  4. Step 4: Simplify right side
    50,782.60x = 1,867,906,083.52
  5. Step 5: Solve for x
    x = 1,867,906,083.52/50,782.60
  6. Step 6: Final answer
    x = 36,782.40

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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.