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Finding the Fourth Proportional to 47,188.50, 70,793.70 and 16,023.78

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Solution

The fourth proportional to 47,188.50, 70,793.70 and 16,023.78 is: 24,039.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,188.50 : 70,793.70 = 16,023.78 : x
  2. Step 2: Convert to fraction form
    47,188.50/70,793.70 = 16,023.78/x
  3. Step 3: Cross multiply
    47,188.50x = 70,793.70 × 16,023.78
  4. Step 4: Simplify right side
    47,188.50x = 1,134,382,674.19
  5. Step 5: Solve for x
    x = 1,134,382,674.19/47,188.50
  6. Step 6: Final answer
    x = 24,039.39

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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.