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Finding the Fourth Proportional to 47,124, 70,668.04 and 20,814.39

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Solution

The fourth proportional to 47,124, 70,668.04 and 20,814.39 is: 31,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,124 : 70,668.04 = 20,814.39 : x
  2. Step 2: Convert to fraction form
    47,124/70,668.04 = 20,814.39/x
  3. Step 3: Cross multiply
    47,124x = 70,668.04 × 20,814.39
  4. Step 4: Simplify right side
    47,124x = 1,470,912,145.10
  5. Step 5: Solve for x
    x = 1,470,912,145.10/47,124
  6. Step 6: Final answer
    x = 31,213.65

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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.