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Finding the Fourth Proportional to 53,071.50, 73,237.97 and 29,197.67

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Solution

The fourth proportional to 53,071.50, 73,237.97 and 29,197.67 is: 40,292.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,071.50 : 73,237.97 = 29,197.67 : x
  2. Step 2: Convert to fraction form
    53,071.50/73,237.97 = 29,197.67/x
  3. Step 3: Cross multiply
    53,071.50x = 73,237.97 × 29,197.67
  4. Step 4: Simplify right side
    53,071.50x = 2,138,377,786.33
  5. Step 5: Solve for x
    x = 2,138,377,786.33/53,071.50
  6. Step 6: Final answer
    x = 40,292.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.