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Finding the Fourth Proportional to 36,641.84, 54,966.74 and 11,676.02

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Solution

The fourth proportional to 36,641.84, 54,966.74 and 11,676.02 is: 17,515.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,641.84 : 54,966.74 = 11,676.02 : x
  2. Step 2: Convert to fraction form
    36,641.84/54,966.74 = 11,676.02/x
  3. Step 3: Cross multiply
    36,641.84x = 54,966.74 × 11,676.02
  4. Step 4: Simplify right side
    36,641.84x = 641,792,422.36
  5. Step 5: Solve for x
    x = 641,792,422.36/36,641.84
  6. Step 6: Final answer
    x = 17,515.29

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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.