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Finding the Fourth Proportional to 51,012.98, 76,520.85 and 15,952.64

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Solution

The fourth proportional to 51,012.98, 76,520.85 and 15,952.64 is: 23,929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,012.98 : 76,520.85 = 15,952.64 : x
  2. Step 2: Convert to fraction form
    51,012.98/76,520.85 = 15,952.64/x
  3. Step 3: Cross multiply
    51,012.98x = 76,520.85 × 15,952.64
  4. Step 4: Simplify right side
    51,012.98x = 1,220,709,560.55
  5. Step 5: Solve for x
    x = 1,220,709,560.55/51,012.98
  6. Step 6: Final answer
    x = 23,929.39

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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.