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Finding the Fourth Proportional to 36,072, 54,130.14 and 15,295.50

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Solution

The fourth proportional to 36,072, 54,130.14 and 15,295.50 is: 22,952.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,072 : 54,130.14 = 15,295.50 : x
  2. Step 2: Convert to fraction form
    36,072/54,130.14 = 15,295.50/x
  3. Step 3: Cross multiply
    36,072x = 54,130.14 × 15,295.50
  4. Step 4: Simplify right side
    36,072x = 827,947,556.37
  5. Step 5: Solve for x
    x = 827,947,556.37/36,072
  6. Step 6: Final answer
    x = 22,952.64

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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.