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Finding the Fourth Proportional to 36,648.96, 54,978.67 and 11,689.29

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Solution

The fourth proportional to 36,648.96, 54,978.67 and 11,689.29 is: 17,535.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,648.96 : 54,978.67 = 11,689.29 : x
  2. Step 2: Convert to fraction form
    36,648.96/54,978.67 = 11,689.29/x
  3. Step 3: Cross multiply
    36,648.96x = 54,978.67 × 11,689.29
  4. Step 4: Simplify right side
    36,648.96x = 642,661,510.30
  5. Step 5: Solve for x
    x = 642,661,510.30/36,648.96
  6. Step 6: Final answer
    x = 17,535.60

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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.