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Finding the Fourth Proportional to 47,674.94, 71,483.87 and 16,084.30

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Solution

The fourth proportional to 47,674.94, 71,483.87 and 16,084.30 is: 24,116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,674.94 : 71,483.87 = 16,084.30 : x
  2. Step 2: Convert to fraction form
    47,674.94/71,483.87 = 16,084.30/x
  3. Step 3: Cross multiply
    47,674.94x = 71,483.87 × 16,084.30
  4. Step 4: Simplify right side
    47,674.94x = 1,149,768,330.59
  5. Step 5: Solve for x
    x = 1,149,768,330.59/47,674.94
  6. Step 6: Final answer
    x = 24,116.83

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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.