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Finding the Fourth Proportional to 50,984.40, 76,487.40 and 15,442.80

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Solution

The fourth proportional to 50,984.40, 76,487.40 and 15,442.80 is: 23,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,984.40 : 76,487.40 = 15,442.80 : x
  2. Step 2: Convert to fraction form
    50,984.40/76,487.40 = 15,442.80/x
  3. Step 3: Cross multiply
    50,984.40x = 76,487.40 × 15,442.80
  4. Step 4: Simplify right side
    50,984.40x = 1,181,179,620.72
  5. Step 5: Solve for x
    x = 1,181,179,620.72/50,984.40
  6. Step 6: Final answer
    x = 23,167.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.