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Finding the Fourth Proportional to 73,400.50, 110,106.24 and 20,814.22

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Solution

The fourth proportional to 73,400.50, 110,106.24 and 20,814.22 is: 31,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,400.50 : 110,106.24 = 20,814.22 : x
  2. Step 2: Convert to fraction form
    73,400.50/110,106.24 = 20,814.22/x
  3. Step 3: Cross multiply
    73,400.50x = 110,106.24 × 20,814.22
  4. Step 4: Simplify right side
    73,400.50x = 2,291,775,502.73
  5. Step 5: Solve for x
    x = 2,291,775,502.73/73,400.50
  6. Step 6: Final answer
    x = 31,222.89

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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.