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Finding the Fourth Proportional to 50,743.20, 76,114.80 and 13,807.20

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Solution

The fourth proportional to 50,743.20, 76,114.80 and 13,807.20 is: 20,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,743.20 : 76,114.80 = 13,807.20 : x
  2. Step 2: Convert to fraction form
    50,743.20/76,114.80 = 13,807.20/x
  3. Step 3: Cross multiply
    50,743.20x = 76,114.80 × 13,807.20
  4. Step 4: Simplify right side
    50,743.20x = 1,050,932,266.56
  5. Step 5: Solve for x
    x = 1,050,932,266.56/50,743.20
  6. Step 6: Final answer
    x = 20,710.80

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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.