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Finding the Fourth Proportional to 47,200.50, 70,811.70 and 16,035.78

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Solution

The fourth proportional to 47,200.50, 70,811.70 and 16,035.78 is: 24,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,200.50 : 70,811.70 = 16,035.78 : x
  2. Step 2: Convert to fraction form
    47,200.50/70,811.70 = 16,035.78/x
  3. Step 3: Cross multiply
    47,200.50x = 70,811.70 × 16,035.78
  4. Step 4: Simplify right side
    47,200.50x = 1,135,520,842.63
  5. Step 5: Solve for x
    x = 1,135,520,842.63/47,200.50
  6. Step 6: Final answer
    x = 24,057.39

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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.