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Finding the Fourth Proportional to 36,647.40, 54,971.31 and 10,352.37

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Solution

The fourth proportional to 36,647.40, 54,971.31 and 10,352.37 is: 15,528.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,647.40 : 54,971.31 = 10,352.37 : x
  2. Step 2: Convert to fraction form
    36,647.40/54,971.31 = 10,352.37/x
  3. Step 3: Cross multiply
    36,647.40x = 54,971.31 × 10,352.37
  4. Step 4: Simplify right side
    36,647.40x = 569,083,340.50
  5. Step 5: Solve for x
    x = 569,083,340.50/36,647.40
  6. Step 6: Final answer
    x = 15,528.61

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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.