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Finding the Fourth Proportional to 50,594.24, 75,891.20 and 13,658.24

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Solution

The fourth proportional to 50,594.24, 75,891.20 and 13,658.24 is: 20,487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,594.24 : 75,891.20 = 13,658.24 : x
  2. Step 2: Convert to fraction form
    50,594.24/75,891.20 = 13,658.24/x
  3. Step 3: Cross multiply
    50,594.24x = 75,891.20 × 13,658.24
  4. Step 4: Simplify right side
    50,594.24x = 1,036,540,223.49
  5. Step 5: Solve for x
    x = 1,036,540,223.49/50,594.24
  6. Step 6: Final answer
    x = 20,487.32

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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.