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Finding the Fourth Proportional to 47,764.69, 71,679.94 and 16,599.94

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Solution

The fourth proportional to 47,764.69, 71,679.94 and 16,599.94 is: 24,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764.69 : 71,679.94 = 16,599.94 : x
  2. Step 2: Convert to fraction form
    47,764.69/71,679.94 = 16,599.94/x
  3. Step 3: Cross multiply
    47,764.69x = 71,679.94 × 16,599.94
  4. Step 4: Simplify right side
    47,764.69x = 1,189,882,482.50
  5. Step 5: Solve for x
    x = 1,189,882,482.50/47,764.69
  6. Step 6: Final answer
    x = 24,911.34

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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.