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Finding the Fourth Proportional to 51,344.40, 77,023.80 and 16,280.40

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Solution

The fourth proportional to 51,344.40, 77,023.80 and 16,280.40 is: 24,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,344.40 : 77,023.80 = 16,280.40 : x
  2. Step 2: Convert to fraction form
    51,344.40/77,023.80 = 16,280.40/x
  3. Step 3: Cross multiply
    51,344.40x = 77,023.80 × 16,280.40
  4. Step 4: Simplify right side
    51,344.40x = 1,253,978,273.52
  5. Step 5: Solve for x
    x = 1,253,978,273.52/51,344.40
  6. Step 6: Final answer
    x = 24,422.88

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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.