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Finding the Fourth Proportional to 51,129.80, 76,697.30 and 16,069.80

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Solution

The fourth proportional to 51,129.80, 76,697.30 and 16,069.80 is: 24,105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,129.80 : 76,697.30 = 16,069.80 : x
  2. Step 2: Convert to fraction form
    51,129.80/76,697.30 = 16,069.80/x
  3. Step 3: Cross multiply
    51,129.80x = 76,697.30 × 16,069.80
  4. Step 4: Simplify right side
    51,129.80x = 1,232,510,271.54
  5. Step 5: Solve for x
    x = 1,232,510,271.54/51,129.80
  6. Step 6: Final answer
    x = 24,105.52

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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.